[{"article_number":"114353","ec_funded":1,"acknowledgement":"We thank Mahsa Bastankhah and Mohammad Ali Maddah-Ali for fruitful discussions about different variants of the problem. This work is supported by the European Research Council (ERC) Consolidator Project 864228 (AdjustNet), 2020-2025, the ERC CoG 863818 (ForM-SMArt), and the German Research Foundation (DFG) grant 470029389 (FlexNets), 2021-2024.","year":"2024","publication_status":"epub_ahead","department":[{"_id":"KrCh"},{"_id":"KrPi"}],"publisher":"Elsevier","author":[{"last_name":"Schmid","first_name":"Stefan","full_name":"Schmid, Stefan"},{"full_name":"Svoboda, Jakub","orcid":"0000-0002-1419-3267","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","last_name":"Svoboda","first_name":"Jakub"},{"first_name":"Michelle X","last_name":"Yeo","id":"2D82B818-F248-11E8-B48F-1D18A9856A87","full_name":"Yeo, Michelle X"}],"date_updated":"2024-01-17T09:23:03Z","date_created":"2024-01-16T13:40:41Z","volume":989,"month":"01","publication_identifier":{"issn":["0304-3975"]},"oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1016/j.tcs.2023.114353"}],"quality_controlled":"1","project":[{"_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818","call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications"}],"doi":"10.1016/j.tcs.2023.114353","language":[{"iso":"eng"}],"type":"journal_article","abstract":[{"text":"We consider a natural problem dealing with weighted packet selection across a rechargeable link, which e.g., finds applications in cryptocurrency networks. The capacity of a link (u, v) is determined by how many nodes u and v allocate for this link. Specifically, the input is a finite ordered sequence of packets that arrive in both directions along a link. Given (u, v) and a packet of weight x going from u to v, node u can either accept or reject the packet. If u accepts the packet, the capacity on link (u, v) decreases by x. Correspondingly, v's capacity on \r\n increases by x. If a node rejects the packet, this will entail a cost affinely linear in the weight of the packet. A link is “rechargeable” in the sense that the total capacity of the link has to remain constant, but the allocation of capacity at the ends of the link can depend arbitrarily on the nodes' decisions. The goal is to minimise the sum of the capacity injected into the link and the cost of rejecting packets. We show that the problem is NP-hard, but can be approximated efficiently with a ratio of (1+E) . (1+3) for some arbitrary E>0.","lang":"eng"}],"_id":"14820","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","title":"Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation","intvolume":" 989","oa_version":"Published Version","keyword":["General Computer Science","Theoretical Computer Science"],"day":"11","article_processing_charge":"Yes (via OA deal)","publication":"Theoretical Computer Science","citation":{"ama":"Schmid S, Svoboda J, Yeo MX. Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. Theoretical Computer Science. 2024;989. doi:10.1016/j.tcs.2023.114353","ista":"Schmid S, Svoboda J, Yeo MX. 2024. Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. Theoretical Computer Science. 989, 114353.","apa":"Schmid, S., Svoboda, J., & Yeo, M. X. (2024). Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. Theoretical Computer Science. Elsevier. https://doi.org/10.1016/j.tcs.2023.114353","ieee":"S. Schmid, J. Svoboda, and M. X. Yeo, “Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation,” Theoretical Computer Science, vol. 989. Elsevier, 2024.","mla":"Schmid, Stefan, et al. “Weighted Packet Selection for Rechargeable Links in Cryptocurrency Networks: Complexity and Approximation.” Theoretical Computer Science, vol. 989, 114353, Elsevier, 2024, doi:10.1016/j.tcs.2023.114353.","short":"S. Schmid, J. Svoboda, M.X. Yeo, Theoretical Computer Science 989 (2024).","chicago":"Schmid, Stefan, Jakub Svoboda, and Michelle X Yeo. “Weighted Packet Selection for Rechargeable Links in Cryptocurrency Networks: Complexity and Approximation.” Theoretical Computer Science. Elsevier, 2024. https://doi.org/10.1016/j.tcs.2023.114353."},"article_type":"original","date_published":"2024-01-11T00:00:00Z"},{"status":"public","title":"Faster algorithm for turn-based stochastic games with bounded treewidth","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"12676","oa_version":"Published Version","type":"conference","abstract":[{"text":"Turn-based stochastic games (aka simple stochastic games) are two-player zero-sum games played on directed graphs with probabilistic transitions. The goal of player-max is to maximize the probability to reach a target state against the adversarial player-min. These games lie in NP ∩ coNP and are among the rare combinatorial problems that belong to this complexity class for which the existence of polynomial-time algorithm is a major open question. While randomized sub-exponential time algorithm exists, all known deterministic algorithms require exponential time in the worst-case. An important open question has been whether faster algorithms can be obtained parametrized by the treewidth of the game graph. Even deterministic sub-exponential time algorithm for constant treewidth turn-based stochastic games has remain elusive. In this work our main result is a deterministic algorithm to solve turn-based stochastic games that, given a game with n states, treewidth at most t, and the bit-complexity of the probabilistic transition function log D, has running time O ((tn2 log D)t log n). In particular, our algorithm is quasi-polynomial time for games with constant or poly-logarithmic treewidth.","lang":"eng"}],"page":"4590-4605","publication":"Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms","citation":{"chicago":"Chatterjee, Krishnendu, Tobias Meggendorfer, Raimundo J Saona Urmeneta, and Jakub Svoboda. “Faster Algorithm for Turn-Based Stochastic Games with Bounded Treewidth.” In Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms, 4590–4605. Society for Industrial and Applied Mathematics, 2023. https://doi.org/10.1137/1.9781611977554.ch173.","mla":"Chatterjee, Krishnendu, et al. “Faster Algorithm for Turn-Based Stochastic Games with Bounded Treewidth.” Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics, 2023, pp. 4590–605, doi:10.1137/1.9781611977554.ch173.","short":"K. Chatterjee, T. Meggendorfer, R.J. Saona Urmeneta, J. Svoboda, in:, Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics, 2023, pp. 4590–4605.","ista":"Chatterjee K, Meggendorfer T, Saona Urmeneta RJ, Svoboda J. 2023. Faster algorithm for turn-based stochastic games with bounded treewidth. Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium on Discrete Algorithms, 4590–4605.","apa":"Chatterjee, K., Meggendorfer, T., Saona Urmeneta, R. J., & Svoboda, J. (2023). Faster algorithm for turn-based stochastic games with bounded treewidth. In Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms (pp. 4590–4605). Florence, Italy: Society for Industrial and Applied Mathematics. https://doi.org/10.1137/1.9781611977554.ch173","ieee":"K. Chatterjee, T. Meggendorfer, R. J. Saona Urmeneta, and J. Svoboda, “Faster algorithm for turn-based stochastic games with bounded treewidth,” in Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms, Florence, Italy, 2023, pp. 4590–4605.","ama":"Chatterjee K, Meggendorfer T, Saona Urmeneta RJ, Svoboda J. Faster algorithm for turn-based stochastic games with bounded treewidth. In: Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial and Applied Mathematics; 2023:4590-4605. doi:10.1137/1.9781611977554.ch173"},"date_published":"2023-02-01T00:00:00Z","day":"01","article_processing_charge":"No","publication_status":"published","department":[{"_id":"GradSch"},{"_id":"KrCh"}],"publisher":"Society for Industrial and Applied Mathematics","year":"2023","acknowledgement":"This research was partially supported by the ERC CoG 863818 (ForM-SMArt) grant.","date_updated":"2023-02-27T09:01:16Z","date_created":"2023-02-24T12:20:47Z","author":[{"full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X"},{"first_name":"Tobias","last_name":"Meggendorfer","id":"b21b0c15-30a2-11eb-80dc-f13ca25802e1","orcid":"0000-0002-1712-2165","full_name":"Meggendorfer, Tobias"},{"full_name":"Saona Urmeneta, Raimundo J","orcid":"0000-0001-5103-038X","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","last_name":"Saona Urmeneta","first_name":"Raimundo J"},{"full_name":"Svoboda, Jakub","last_name":"Svoboda","first_name":"Jakub","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425"}],"ec_funded":1,"quality_controlled":"1","project":[{"_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818","call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications"}],"oa":1,"main_file_link":[{"url":"https://doi.org/10.1137/1.9781611977554.ch173","open_access":"1"}],"language":[{"iso":"eng"}],"conference":{"name":"SODA: Symposium on Discrete Algorithms","location":"Florence, Italy","start_date":"2023-01-22","end_date":"2023-01-25"},"doi":"10.1137/1.9781611977554.ch173","month":"02","publication_identifier":{"isbn":["9781611977554"]}},{"publication_identifier":{"issn":["1364-5021"],"eissn":["1471-2946"]},"month":"03","project":[{"_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818","call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications"}],"quality_controlled":"1","isi":1,"oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000957125500002"]},"language":[{"iso":"eng"}],"doi":"10.1098/rspa.2022.0685","article_number":"20220685","license":"https://creativecommons.org/licenses/by/4.0/","ec_funded":1,"file_date_updated":"2023-04-03T06:25:29Z","publisher":"The Royal Society","department":[{"_id":"KrCh"}],"publication_status":"published","year":"2023","acknowledgement":"J.S. and K.C. acknowledge support from the ERC CoG 863818 (ForM-SMArt)","volume":479,"date_created":"2023-04-02T22:01:09Z","date_updated":"2023-08-01T13:58:34Z","related_material":{"link":[{"relation":"research_data","url":"https://doi.org/10.6084/m9.figshare.21261771.v1"}]},"author":[{"full_name":"Svoboda, Jakub","first_name":"Jakub","last_name":"Svoboda","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425"},{"full_name":"Tkadlec, Josef","orcid":"0000-0002-1097-9684","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87","last_name":"Tkadlec","first_name":"Josef"},{"last_name":"Kaveh","first_name":"Kamran","full_name":"Kaveh, Kamran"},{"full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X"}],"scopus_import":"1","has_accepted_license":"1","article_processing_charge":"No","day":"29","article_type":"original","citation":{"mla":"Svoboda, Jakub, et al. “Coexistence Times in the Moran Process with Environmental Heterogeneity.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 479, no. 2271, 20220685, The Royal Society, 2023, doi:10.1098/rspa.2022.0685.","short":"J. Svoboda, J. Tkadlec, K. Kaveh, K. Chatterjee, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 479 (2023).","chicago":"Svoboda, Jakub, Josef Tkadlec, Kamran Kaveh, and Krishnendu Chatterjee. “Coexistence Times in the Moran Process with Environmental Heterogeneity.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. The Royal Society, 2023. https://doi.org/10.1098/rspa.2022.0685.","ama":"Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. Coexistence times in the Moran process with environmental heterogeneity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2023;479(2271). doi:10.1098/rspa.2022.0685","ista":"Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. 2023. Coexistence times in the Moran process with environmental heterogeneity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 479(2271), 20220685.","ieee":"J. Svoboda, J. Tkadlec, K. Kaveh, and K. Chatterjee, “Coexistence times in the Moran process with environmental heterogeneity,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 479, no. 2271. The Royal Society, 2023.","apa":"Svoboda, J., Tkadlec, J., Kaveh, K., & Chatterjee, K. (2023). Coexistence times in the Moran process with environmental heterogeneity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. The Royal Society. https://doi.org/10.1098/rspa.2022.0685"},"publication":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","date_published":"2023-03-29T00:00:00Z","type":"journal_article","issue":"2271","abstract":[{"lang":"eng","text":"Populations evolve in spatially heterogeneous environments. While a certain trait might bring a fitness advantage in some patch of the environment, a different trait might be advantageous in another patch. Here, we study the Moran birth–death process with two types of individuals in a population stretched across two patches of size N, each patch favouring one of the two types. We show that the long-term fate of such populations crucially depends on the migration rate μ\r\n between the patches. To classify the possible fates, we use the distinction between polynomial (short) and exponential (long) timescales. We show that when μ is high then one of the two types fixates on the whole population after a number of steps that is only polynomial in N. By contrast, when μ is low then each type holds majority in the patch where it is favoured for a number of steps that is at least exponential in N. Moreover, we precisely identify the threshold migration rate μ⋆ that separates those two scenarios, thereby exactly delineating the situations that support long-term coexistence of the two types. We also discuss the case of various cycle graphs and we present computer simulations that perfectly match our analytical results."}],"intvolume":" 479","title":"Coexistence times in the Moran process with environmental heterogeneity","status":"public","ddc":["000"],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"12787","oa_version":"Published Version","file":[{"creator":"dernst","content_type":"application/pdf","file_size":827784,"file_name":"2023_ProceedingsRoyalSocietyA_Svoboda.pdf","access_level":"open_access","date_updated":"2023-04-03T06:25:29Z","date_created":"2023-04-03T06:25:29Z","success":1,"checksum":"13953d349fbefcb5d21ccc6b303297eb","file_id":"12796","relation":"main_file"}]},{"oa":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2204.13459","open_access":"1"}],"external_id":{"arxiv":["2204.13459"]},"project":[{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020","grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"}],"quality_controlled":"1","doi":"10.1007/978-3-031-32733-9_26","conference":{"name":"SIROCCO: Structural Information and Communication Complexity","end_date":"2023-06-09","start_date":"2023-06-06","location":"Alcala de Henares, Spain"},"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0302-9743"],"eissn":["1611-3349"],"isbn":["9783031327322"]},"month":"05","acknowledgement":"We thank Mahsa Bastankhah and Mohammad Ali Maddah-Ali for fruitful discussions about different variants of the problem. This work is supported by the European Research Council (ERC) Consolidator Project 864228 (AdjustNet), 2020-2025, the ERC CoG 863818 (ForM-SMArt), and the German Research Foundation (DFG) grant 470029389 (FlexNets), 2021–2024.","year":"2023","department":[{"_id":"KrPi"},{"_id":"KrCh"}],"publisher":"Springer Nature","publication_status":"published","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"14506"}]},"author":[{"first_name":"Stefan","last_name":"Schmid","full_name":"Schmid, Stefan"},{"orcid":"0000-0002-1419-3267","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","last_name":"Svoboda","first_name":"Jakub","full_name":"Svoboda, Jakub"},{"full_name":"Yeo, Michelle X","last_name":"Yeo","first_name":"Michelle X","id":"2D82B818-F248-11E8-B48F-1D18A9856A87"}],"volume":13892,"date_updated":"2023-11-30T10:54:51Z","date_created":"2023-07-16T22:01:12Z","ec_funded":1,"citation":{"chicago":"Schmid, Stefan, Jakub Svoboda, and Michelle X Yeo. “Weighted Packet Selection for Rechargeable Links in Cryptocurrency Networks: Complexity and Approximation.” In SIROCCO 2023: Structural Information and Communication Complexity , 13892:576–94. Springer Nature, 2023. https://doi.org/10.1007/978-3-031-32733-9_26.","mla":"Schmid, Stefan, et al. “Weighted Packet Selection for Rechargeable Links in Cryptocurrency Networks: Complexity and Approximation.” SIROCCO 2023: Structural Information and Communication Complexity , vol. 13892, Springer Nature, 2023, pp. 576–94, doi:10.1007/978-3-031-32733-9_26.","short":"S. Schmid, J. Svoboda, M.X. Yeo, in:, SIROCCO 2023: Structural Information and Communication Complexity , Springer Nature, 2023, pp. 576–594.","ista":"Schmid S, Svoboda J, Yeo MX. 2023. Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. SIROCCO 2023: Structural Information and Communication Complexity . SIROCCO: Structural Information and Communication Complexity, LNCS, vol. 13892, 576–594.","ieee":"S. Schmid, J. Svoboda, and M. X. Yeo, “Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation,” in SIROCCO 2023: Structural Information and Communication Complexity , Alcala de Henares, Spain, 2023, vol. 13892, pp. 576–594.","apa":"Schmid, S., Svoboda, J., & Yeo, M. X. (2023). Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. In SIROCCO 2023: Structural Information and Communication Complexity (Vol. 13892, pp. 576–594). Alcala de Henares, Spain: Springer Nature. https://doi.org/10.1007/978-3-031-32733-9_26","ama":"Schmid S, Svoboda J, Yeo MX. Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. In: SIROCCO 2023: Structural Information and Communication Complexity . Vol 13892. Springer Nature; 2023:576-594. doi:10.1007/978-3-031-32733-9_26"},"publication":"SIROCCO 2023: Structural Information and Communication Complexity ","page":"576-594","date_published":"2023-05-25T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"25","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"13238","intvolume":" 13892","status":"public","title":"Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation","oa_version":"Preprint","type":"conference","alternative_title":["LNCS"],"abstract":[{"lang":"eng","text":"We consider a natural problem dealing with weighted packet selection across a rechargeable link, which e.g., finds applications in cryptocurrency networks. The capacity of a link (u, v) is determined by how much nodes u and v allocate for this link. Specifically, the input is a finite ordered sequence of packets that arrive in both directions along a link. Given (u, v) and a packet of weight x going from u to v, node u can either accept or reject the packet. If u accepts the packet, the capacity on link (u, v) decreases by x. Correspondingly, v’s capacity on (u, v) increases by x. If a node rejects the packet, this will entail a cost affinely linear in the weight of the packet. A link is “rechargeable” in the sense that the total capacity of the link has to remain constant, but the allocation of capacity at the ends of the link can depend arbitrarily on the nodes’ decisions. The goal is to minimise the sum of the capacity injected into the link and the cost of rejecting packets. We show that the problem is NP-hard, but can be approximated efficiently with a ratio of (1+ε)⋅(1+3–√) for some arbitrary ε>0.\r\n."}]},{"doi":"10.1007/978-3-031-47754-6_18","conference":{"start_date":"2023-05-01","location":"Bol, Brac, Croatia","end_date":"2023-05-05","name":"FC: Financial Cryptography and Data Security"},"language":[{"iso":"eng"}],"project":[{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020","grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"}],"quality_controlled":"1","publication_identifier":{"isbn":["9783031477539"],"eissn":["1611-3349"],"eisbn":["9783031477546"],"issn":["0302-9743"]},"month":"12","author":[{"first_name":"Mahsa","last_name":"Bastankhah","full_name":"Bastankhah, Mahsa"},{"orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu"},{"first_name":"Mohammad Ali","last_name":"Maddah-Ali","full_name":"Maddah-Ali, Mohammad Ali"},{"full_name":"Schmid, Stefan","last_name":"Schmid","first_name":"Stefan"},{"first_name":"Jakub","last_name":"Svoboda","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","orcid":"0000-0002-1419-3267","full_name":"Svoboda, Jakub"},{"full_name":"Yeo, Michelle X","first_name":"Michelle X","last_name":"Yeo","id":"2D82B818-F248-11E8-B48F-1D18A9856A87"}],"volume":13950,"date_created":"2024-01-08T09:30:22Z","date_updated":"2024-01-08T09:36:36Z","year":"2023","acknowledgement":"Supported by the German Federal Ministry of Education and Research (BMBF), grant 16KISK020K (6G-RIC), 2021–2025, and ERC CoG 863818 (ForM-SMArt).","publisher":"Springer Nature","department":[{"_id":"KrCh"},{"_id":"KrPi"}],"publication_status":"published","ec_funded":1,"date_published":"2023-12-01T00:00:00Z","citation":{"apa":"Bastankhah, M., Chatterjee, K., Maddah-Ali, M. A., Schmid, S., Svoboda, J., & Yeo, M. X. (2023). R2: Boosting liquidity in payment channel networks with online admission control. In 27th International Conference on Financial Cryptography and Data Security (Vol. 13950, pp. 309–325). Bol, Brac, Croatia: Springer Nature. https://doi.org/10.1007/978-3-031-47754-6_18","ieee":"M. Bastankhah, K. Chatterjee, M. A. Maddah-Ali, S. Schmid, J. Svoboda, and M. X. Yeo, “R2: Boosting liquidity in payment channel networks with online admission control,” in 27th International Conference on Financial Cryptography and Data Security, Bol, Brac, Croatia, 2023, vol. 13950, pp. 309–325.","ista":"Bastankhah M, Chatterjee K, Maddah-Ali MA, Schmid S, Svoboda J, Yeo MX. 2023. R2: Boosting liquidity in payment channel networks with online admission control. 27th International Conference on Financial Cryptography and Data Security. FC: Financial Cryptography and Data Security, LNCS, vol. 13950, 309–325.","ama":"Bastankhah M, Chatterjee K, Maddah-Ali MA, Schmid S, Svoboda J, Yeo MX. R2: Boosting liquidity in payment channel networks with online admission control. In: 27th International Conference on Financial Cryptography and Data Security. Vol 13950. Springer Nature; 2023:309-325. doi:10.1007/978-3-031-47754-6_18","chicago":"Bastankhah, Mahsa, Krishnendu Chatterjee, Mohammad Ali Maddah-Ali, Stefan Schmid, Jakub Svoboda, and Michelle X Yeo. “R2: Boosting Liquidity in Payment Channel Networks with Online Admission Control.” In 27th International Conference on Financial Cryptography and Data Security, 13950:309–25. Springer Nature, 2023. https://doi.org/10.1007/978-3-031-47754-6_18.","short":"M. Bastankhah, K. Chatterjee, M.A. Maddah-Ali, S. Schmid, J. Svoboda, M.X. Yeo, in:, 27th International Conference on Financial Cryptography and Data Security, Springer Nature, 2023, pp. 309–325.","mla":"Bastankhah, Mahsa, et al. “R2: Boosting Liquidity in Payment Channel Networks with Online Admission Control.” 27th International Conference on Financial Cryptography and Data Security, vol. 13950, Springer Nature, 2023, pp. 309–25, doi:10.1007/978-3-031-47754-6_18."},"publication":"27th International Conference on Financial Cryptography and Data Security","page":"309-325","article_processing_charge":"No","day":"01","oa_version":"None","_id":"14736","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 13950","title":"R2: Boosting liquidity in payment channel networks with online admission control","status":"public","abstract":[{"lang":"eng","text":"Payment channel networks (PCNs) are a promising technology to improve the scalability of cryptocurrencies. PCNs, however, face the challenge that the frequent usage of certain routes may deplete channels in one direction, and hence prevent further transactions. In order to reap the full potential of PCNs, recharging and rebalancing mechanisms are required to provision channels, as well as an admission control logic to decide which transactions to reject in case capacity is insufficient. This paper presents a formal model of this optimisation problem. In particular, we consider an online algorithms perspective, where transactions arrive over time in an unpredictable manner. Our main contributions are competitive online algorithms which come with provable guarantees over time. We empirically evaluate our algorithms on randomly generated transactions to compare the average performance of our algorithms to our theoretical bounds. We also show how this model and approach differs from related problems in classic communication networks."}],"type":"conference","alternative_title":["LNCS"]},{"abstract":[{"text":"In this paper, we present novel algorithms that efficiently compute a shortest reconfiguration sequence between two given dominating sets in trees and interval graphs under the TOKEN SLIDING model. In this problem, a graph is provided along with its two dominating sets, which can be imagined as tokens placed on vertices. The objective is to find a shortest sequence of dominating sets that transforms one set into the other, with each set in the sequence resulting from sliding a single token in the previous set. While identifying any sequence has been well studied, our work presents the first polynomial algorithms for this optimization variant in the context of dominating sets.","lang":"eng"}],"type":"conference","alternative_title":["LNCS"],"oa_version":"Preprint","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14456","intvolume":" 14292","title":"Shortest dominating set reconfiguration under token sliding","status":"public","article_processing_charge":"No","day":"21","scopus_import":"1","date_published":"2023-09-21T00:00:00Z","citation":{"ista":"Křišťan JM, Svoboda J. 2023. Shortest dominating set reconfiguration under token sliding. 24th International Symposium on Fundamentals of Computation Theory. FCT: Fundamentals of Computation Theory, LNCS, vol. 14292, 333–347.","apa":"Křišťan, J. M., & Svoboda, J. (2023). Shortest dominating set reconfiguration under token sliding. In 24th International Symposium on Fundamentals of Computation Theory (Vol. 14292, pp. 333–347). Trier, Germany: Springer Nature. https://doi.org/10.1007/978-3-031-43587-4_24","ieee":"J. M. Křišťan and J. Svoboda, “Shortest dominating set reconfiguration under token sliding,” in 24th International Symposium on Fundamentals of Computation Theory, Trier, Germany, 2023, vol. 14292, pp. 333–347.","ama":"Křišťan JM, Svoboda J. Shortest dominating set reconfiguration under token sliding. In: 24th International Symposium on Fundamentals of Computation Theory. Vol 14292. Springer Nature; 2023:333-347. doi:10.1007/978-3-031-43587-4_24","chicago":"Křišťan, Jan Matyáš, and Jakub Svoboda. “Shortest Dominating Set Reconfiguration under Token Sliding.” In 24th International Symposium on Fundamentals of Computation Theory, 14292:333–47. Springer Nature, 2023. https://doi.org/10.1007/978-3-031-43587-4_24.","mla":"Křišťan, Jan Matyáš, and Jakub Svoboda. “Shortest Dominating Set Reconfiguration under Token Sliding.” 24th International Symposium on Fundamentals of Computation Theory, vol. 14292, Springer Nature, 2023, pp. 333–47, doi:10.1007/978-3-031-43587-4_24.","short":"J.M. Křišťan, J. Svoboda, in:, 24th International Symposium on Fundamentals of Computation Theory, Springer Nature, 2023, pp. 333–347."},"publication":"24th International Symposium on Fundamentals of Computation Theory","page":"333-347","related_material":{"link":[{"url":"https://doi.org/10.1007/978-3-031-43587-4_31","relation":"erratum"}]},"author":[{"last_name":"Křišťan","first_name":"Jan Matyáš","full_name":"Křišťan, Jan Matyáš"},{"full_name":"Svoboda, Jakub","first_name":"Jakub","last_name":"Svoboda","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","orcid":"0000-0002-1419-3267"}],"volume":14292,"date_created":"2023-10-29T23:01:16Z","date_updated":"2024-01-22T08:10:49Z","year":"2023","publisher":"Springer Nature","department":[{"_id":"KrCh"}],"publication_status":"published","publication_identifier":{"eissn":["1611-3349"],"isbn":["9783031435867"],"issn":["0302-9743"]},"month":"09","doi":"10.1007/978-3-031-43587-4_24","conference":{"name":"FCT: Fundamentals of Computation Theory","location":"Trier, Germany","start_date":"2023-09-18","end_date":"2023-09-21"},"language":[{"iso":"eng"}],"oa":1,"external_id":{"arxiv":["2307.10847"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2307.10847"}],"quality_controlled":"1"},{"type":"conference","abstract":[{"text":"Spatial games form a widely-studied class of games from biology and physics modeling the evolution of social behavior. Formally, such a game is defined by a square (d by d) payoff matrix M and an undirected graph G. Each vertex of G represents an individual, that initially follows some strategy i ∈ {1,2,…,d}. In each round of the game, every individual plays the matrix game with each of its neighbors: An individual following strategy i meeting a neighbor following strategy j receives a payoff equal to the entry (i,j) of M. Then, each individual updates its strategy to its neighbors' strategy with the highest sum of payoffs, and the next round starts. The basic computational problems consist of reachability between configurations and the average frequency of a strategy. For general spatial games and graphs, these problems are in PSPACE. In this paper, we examine restricted setting: the game is a prisoner’s dilemma; and G is a subgraph of grid. We prove that basic computational problems for spatial games with prisoner’s dilemma on a subgraph of a grid are PSPACE-hard.","lang":"eng"}],"_id":"12101","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","ddc":["000"],"title":"Complexity of spatial games","intvolume":" 250","file":[{"access_level":"open_access","file_name":"2022_LIPICs_Chatterjee.pdf","creator":"dernst","file_size":657396,"content_type":"application/pdf","file_id":"12323","relation":"main_file","success":1,"checksum":"a21e3ba2421e2c4a06aa2cb6d530ede1","date_updated":"2023-01-20T10:19:19Z","date_created":"2023-01-20T10:19:19Z"}],"oa_version":"Published Version","scopus_import":"1","day":"14","article_processing_charge":"No","has_accepted_license":"1","publication":"42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science","citation":{"chicago":"Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Ismael R Jecker, and Jakub Svoboda. “Complexity of Spatial Games.” In 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Vol. 250. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11.","mla":"Chatterjee, Krishnendu, et al. “Complexity of Spatial Games.” 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, vol. 250, 11:1-11:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, doi:10.4230/LIPIcs.FSTTCS.2022.11.","short":"K. Chatterjee, R. Ibsen-Jensen, I.R. Jecker, J. Svoboda, in:, 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022.","ista":"Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. 2022. Complexity of spatial games. 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. FSTTC: Foundations of Software Technology and Theoretical Computer Science vol. 250, 11:1-11:14.","ieee":"K. Chatterjee, R. Ibsen-Jensen, I. R. Jecker, and J. Svoboda, “Complexity of spatial games,” in 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Madras, India, 2022, vol. 250.","apa":"Chatterjee, K., Ibsen-Jensen, R., Jecker, I. R., & Svoboda, J. (2022). Complexity of spatial games. In 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (Vol. 250). Madras, India: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11","ama":"Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. Complexity of spatial games. In: 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. Vol 250. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2022. doi:10.4230/LIPIcs.FSTTCS.2022.11"},"date_published":"2022-12-14T00:00:00Z","article_number":"11:1-11:14","file_date_updated":"2023-01-20T10:19:19Z","ec_funded":1,"acknowledgement":"Krishnendu Chatterjee: The research was partially supported by the ERC CoG 863818\r\n(ForM-SMArt).\r\nIsmaël Jecker: The research was partially supported by the ERC grant 950398 (INFSYS).\r\nJakub Svoboda: The research was partially supported by the ERC CoG 863818 (ForM-SMArt)","year":"2022","publication_status":"published","department":[{"_id":"KrCh"}],"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","author":[{"orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu"},{"id":"3B699956-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-4783-0389","first_name":"Rasmus","last_name":"Ibsen-Jensen","full_name":"Ibsen-Jensen, Rasmus"},{"full_name":"Jecker, Ismael R","id":"85D7C63E-7D5D-11E9-9C0F-98C4E5697425","first_name":"Ismael R","last_name":"Jecker"},{"full_name":"Svoboda, Jakub","first_name":"Jakub","last_name":"Svoboda","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425"}],"date_updated":"2023-02-13T09:06:43Z","date_created":"2023-01-01T23:00:50Z","volume":250,"month":"12","publication_identifier":{"issn":["1868-8969"],"isbn":["9783959772617"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"quality_controlled":"1","project":[{"grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications"}],"conference":{"name":"FSTTC: Foundations of Software Technology and Theoretical Computer Science","end_date":"2022-12-20","start_date":"2022-12-18","location":"Madras, India"},"doi":"10.4230/LIPIcs.FSTTCS.2022.11","language":[{"iso":"eng"}]},{"article_number":"1526","file_date_updated":"2022-02-07T14:57:59Z","ec_funded":1,"publication_status":"published","publisher":"Springer Nature","department":[{"_id":"KrCh"}],"acknowledgement":"K.C. acknowledges support from ERC Consolidator Grant No. (863818: ForM-SMart). A.P. acknowledges support from FWF Grant No. J-4220. M.A.N. acknowledges support from Office of Naval Research grant N00014-16-1-2914 and from the John Templeton Foundation.","year":"2022","date_created":"2022-02-06T23:01:30Z","date_updated":"2023-08-02T14:13:07Z","volume":12,"author":[{"full_name":"Svoboda, Jakub","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","last_name":"Svoboda","first_name":"Jakub"},{"first_name":"Josef","last_name":"Tkadlec","full_name":"Tkadlec, Josef"},{"full_name":"Pavlogiannis, Andreas","id":"49704004-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8943-0722","first_name":"Andreas","last_name":"Pavlogiannis"},{"last_name":"Chatterjee","first_name":"Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu"},{"last_name":"Nowak","first_name":"Martin A.","full_name":"Nowak, Martin A."}],"month":"01","publication_identifier":{"eissn":["2045-2322"]},"quality_controlled":"1","isi":1,"project":[{"grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000749198000039"],"arxiv":["2012.15155"]},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1038/s41598-022-05333-5","type":"journal_article","abstract":[{"lang":"eng","text":"Motivated by COVID-19, we develop and analyze a simple stochastic model for the spread of disease in human population. We track how the number of infected and critically ill people develops over time in order to estimate the demand that is imposed on the hospital system. To keep this demand under control, we consider a class of simple policies for slowing down and reopening society and we compare their efficiency in mitigating the spread of the virus from several different points of view. We find that in order to avoid overwhelming of the hospital system, a policy must impose a harsh lockdown or it must react swiftly (or both). While reacting swiftly is universally beneficial, being harsh pays off only when the country is patient about reopening and when the neighboring countries coordinate their mitigation efforts. Our work highlights the importance of acting decisively when closing down and the importance of patience and coordination between neighboring countries when reopening."}],"issue":"1","ddc":["570"],"status":"public","title":"Infection dynamics of COVID-19 virus under lockdown and reopening","intvolume":" 12","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"10731","file":[{"file_name":"2022_ScientificReports_Svoboda.pdf","access_level":"open_access","file_size":2971922,"content_type":"application/pdf","creator":"alisjak","relation":"main_file","file_id":"10744","date_created":"2022-02-07T14:57:59Z","date_updated":"2022-02-07T14:57:59Z","checksum":"247afd30c173390940f099ead35a28ed","success":1}],"oa_version":"Published Version","scopus_import":"1","day":"27","has_accepted_license":"1","article_processing_charge":"No","article_type":"original","publication":"Scientific Reports","citation":{"chicago":"Svoboda, Jakub, Josef Tkadlec, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin A. Nowak. “Infection Dynamics of COVID-19 Virus under Lockdown and Reopening.” Scientific Reports. Springer Nature, 2022. https://doi.org/10.1038/s41598-022-05333-5.","short":"J. Svoboda, J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Scientific Reports 12 (2022).","mla":"Svoboda, Jakub, et al. “Infection Dynamics of COVID-19 Virus under Lockdown and Reopening.” Scientific Reports, vol. 12, no. 1, 1526, Springer Nature, 2022, doi:10.1038/s41598-022-05333-5.","ieee":"J. Svoboda, J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Infection dynamics of COVID-19 virus under lockdown and reopening,” Scientific Reports, vol. 12, no. 1. Springer Nature, 2022.","apa":"Svoboda, J., Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M. A. (2022). Infection dynamics of COVID-19 virus under lockdown and reopening. Scientific Reports. Springer Nature. https://doi.org/10.1038/s41598-022-05333-5","ista":"Svoboda J, Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2022. Infection dynamics of COVID-19 virus under lockdown and reopening. Scientific Reports. 12(1), 1526.","ama":"Svoboda J, Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Infection dynamics of COVID-19 virus under lockdown and reopening. Scientific Reports. 2022;12(1). doi:10.1038/s41598-022-05333-5"},"date_published":"2022-01-27T00:00:00Z"},{"article_processing_charge":"No","day":"29","scopus_import":"1","date_published":"2022-09-29T00:00:00Z","citation":{"ista":"Chatterjee K, Svoboda J, Zikelic D, Pavlogiannis A, Tkadlec J. 2022. Social balance on networks: Local minima and best-edge dynamics. Physical Review E. 106(3), 034321.","apa":"Chatterjee, K., Svoboda, J., Zikelic, D., Pavlogiannis, A., & Tkadlec, J. (2022). Social balance on networks: Local minima and best-edge dynamics. Physical Review E. American Physical Society. https://doi.org/10.1103/physreve.106.034321","ieee":"K. Chatterjee, J. Svoboda, D. Zikelic, A. Pavlogiannis, and J. Tkadlec, “Social balance on networks: Local minima and best-edge dynamics,” Physical Review E, vol. 106, no. 3. American Physical Society, 2022.","ama":"Chatterjee K, Svoboda J, Zikelic D, Pavlogiannis A, Tkadlec J. Social balance on networks: Local minima and best-edge dynamics. Physical Review E. 2022;106(3). doi:10.1103/physreve.106.034321","chicago":"Chatterjee, Krishnendu, Jakub Svoboda, Dorde Zikelic, Andreas Pavlogiannis, and Josef Tkadlec. “Social Balance on Networks: Local Minima and Best-Edge Dynamics.” Physical Review E. American Physical Society, 2022. https://doi.org/10.1103/physreve.106.034321.","mla":"Chatterjee, Krishnendu, et al. “Social Balance on Networks: Local Minima and Best-Edge Dynamics.” Physical Review E, vol. 106, no. 3, 034321, American Physical Society, 2022, doi:10.1103/physreve.106.034321.","short":"K. Chatterjee, J. Svoboda, D. Zikelic, A. Pavlogiannis, J. Tkadlec, Physical Review E 106 (2022)."},"publication":"Physical Review E","article_type":"original","issue":"3","abstract":[{"lang":"eng","text":"Structural balance theory is an established framework for studying social relationships of friendship and enmity. These relationships are modeled by a signed network whose energy potential measures the level of imbalance, while stochastic dynamics drives the network toward a state of minimum energy that captures social balance. It is known that this energy landscape has local minima that can trap socially aware dynamics, preventing it from reaching balance. Here we first study the robustness and attractor properties of these local minima. We show that a stochastic process can reach them from an abundance of initial states and that some local minima cannot be escaped by mild perturbations of the network. Motivated by these anomalies, we introduce best-edge dynamics (BED), a new plausible stochastic process. We prove that BED always reaches balance and that it does so fast in various interesting settings."}],"type":"journal_article","oa_version":"Preprint","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"12257","intvolume":" 106","status":"public","title":"Social balance on networks: Local minima and best-edge dynamics","publication_identifier":{"issn":["2470-0045"],"eissn":["2470-0053"]},"month":"09","doi":"10.1103/physreve.106.034321","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2210.02394","open_access":"1"}],"oa":1,"external_id":{"isi":["000870243100001"],"arxiv":["2210.02394"]},"project":[{"name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7","grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020"},{"grant_number":"P 23499-N23","_id":"2584A770-B435-11E9-9278-68D0E5697425","name":"Modern Graph Algorithmic Techniques in Formal Verification","call_identifier":"FWF"},{"call_identifier":"FWF","name":"Game Theory","_id":"25863FF4-B435-11E9-9278-68D0E5697425","grant_number":"S11407"},{"grant_number":"665385","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"International IST Doctoral Program"}],"quality_controlled":"1","isi":1,"ec_funded":1,"article_number":"034321","author":[{"full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","first_name":"Krishnendu"},{"first_name":"Jakub","last_name":"Svoboda","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","full_name":"Svoboda, Jakub"},{"full_name":"Zikelic, Dorde","first_name":"Dorde","last_name":"Zikelic","id":"294AA7A6-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Pavlogiannis","first_name":"Andreas","orcid":"0000-0002-8943-0722","id":"49704004-F248-11E8-B48F-1D18A9856A87","full_name":"Pavlogiannis, Andreas"},{"first_name":"Josef","last_name":"Tkadlec","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1097-9684","full_name":"Tkadlec, Josef"}],"volume":106,"date_updated":"2023-08-04T09:50:44Z","date_created":"2023-01-16T09:57:57Z","year":"2022","acknowledgement":"K.C. acknowledges support from ERC Start Grant No. (279307: Graph Games), ERC Consolidator Grant No. (863818: ForM-SMart), and Austrian Science Fund (FWF)\r\nGrants No. P23499-N23 and No. S11407-N23 (RiSE). This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie\r\nSkłodowska-Curie Grant Agreement No. 665385.","department":[{"_id":"KrCh"}],"publisher":"American Physical Society","publication_status":"published"},{"conference":{"location":"Prague, Czech Republic","start_date":"2020-08-24","end_date":"2020-08-28","name":"MFCS: Symposium on Mathematical Foundations of Computer Science"},"doi":"10.4230/LIPIcs.MFCS.2020.22","language":[{"iso":"eng"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/3.0/legalcode","name":"Creative Commons Attribution 3.0 Unported (CC BY 3.0)","short":"CC BY (3.0)","image":"/images/cc_by.png"},"oa":1,"external_id":{"arxiv":["2007.02894"]},"quality_controlled":"1","project":[{"name":"Efficient Algorithms for Computer Aided Verification","grant_number":"ICT15-003","_id":"25892FC0-B435-11E9-9278-68D0E5697425"},{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"}],"month":"08","publication_identifier":{"issn":["18688969"],"isbn":["9783959771597"]},"author":[{"last_name":"Chatterjee","first_name":"Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu"},{"first_name":"Rasmus","last_name":"Ibsen-Jensen","id":"3B699956-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-4783-0389","full_name":"Ibsen-Jensen, Rasmus"},{"last_name":"Jecker","first_name":"Ismael R","id":"85D7C63E-7D5D-11E9-9C0F-98C4E5697425","full_name":"Jecker, Ismael R"},{"id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","first_name":"Jakub","last_name":"Svoboda","full_name":"Svoboda, Jakub"}],"date_updated":"2021-01-12T08:19:55Z","date_created":"2020-09-20T22:01:36Z","volume":170,"acknowledgement":"Krishnendu Chatterjee: The research was partially supported by the Vienna Science and\r\nTechnology Fund (WWTF) Project ICT15-003.\r\nIsmaël Jecker: This project has received funding from the European Union’s Horizon 2020 research\r\nand innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411.","year":"2020","publication_status":"published","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","department":[{"_id":"KrCh"}],"file_date_updated":"2020-09-21T13:57:34Z","ec_funded":1,"license":"https://creativecommons.org/licenses/by/3.0/","article_number":"22:1-22:13","date_published":"2020-08-18T00:00:00Z","publication":"45th International Symposium on Mathematical Foundations of Computer Science","citation":{"short":"K. Chatterjee, R. Ibsen-Jensen, I.R. Jecker, J. Svoboda, in:, 45th International Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.","mla":"Chatterjee, Krishnendu, et al. “Simplified Game of Life: Algorithms and Complexity.” 45th International Symposium on Mathematical Foundations of Computer Science, vol. 170, 22:1-22:13, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.MFCS.2020.22.","chicago":"Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Ismael R Jecker, and Jakub Svoboda. “Simplified Game of Life: Algorithms and Complexity.” In 45th International Symposium on Mathematical Foundations of Computer Science, Vol. 170. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.MFCS.2020.22.","ama":"Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. Simplified game of life: Algorithms and complexity. In: 45th International Symposium on Mathematical Foundations of Computer Science. Vol 170. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.MFCS.2020.22","apa":"Chatterjee, K., Ibsen-Jensen, R., Jecker, I. R., & Svoboda, J. (2020). Simplified game of life: Algorithms and complexity. In 45th International Symposium on Mathematical Foundations of Computer Science (Vol. 170). Prague, Czech Republic: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2020.22","ieee":"K. Chatterjee, R. Ibsen-Jensen, I. R. Jecker, and J. Svoboda, “Simplified game of life: Algorithms and complexity,” in 45th International Symposium on Mathematical Foundations of Computer Science, Prague, Czech Republic, 2020, vol. 170.","ista":"Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. 2020. Simplified game of life: Algorithms and complexity. 45th International Symposium on Mathematical Foundations of Computer Science. MFCS: Symposium on Mathematical Foundations of Computer Science, LIPIcs, vol. 170, 22:1-22:13."},"day":"18","has_accepted_license":"1","article_processing_charge":"No","scopus_import":"1","file":[{"file_size":491374,"content_type":"application/pdf","creator":"dernst","file_name":"2020_LIPIcs_Chatterjee.pdf","access_level":"open_access","date_updated":"2020-09-21T13:57:34Z","date_created":"2020-09-21T13:57:34Z","checksum":"bbd7c4f55d45f2ff2a0a4ef0e10a77b1","success":1,"relation":"main_file","file_id":"8550"}],"oa_version":"Published Version","_id":"8533","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Simplified game of life: Algorithms and complexity","status":"public","ddc":["000"],"intvolume":" 170","abstract":[{"lang":"eng","text":"Game of Life is a simple and elegant model to study dynamical system over networks. The model consists of a graph where every vertex has one of two types, namely, dead or alive. A configuration is a mapping of the vertices to the types. An update rule describes how the type of a vertex is updated given the types of its neighbors. In every round, all vertices are updated synchronously, which leads to a configuration update. While in general, Game of Life allows a broad range of update rules, we focus on two simple families of update rules, namely, underpopulation and overpopulation, that model several interesting dynamics studied in the literature. In both settings, a dead vertex requires at least a desired number of live neighbors to become alive. For underpopulation (resp., overpopulation), a live vertex requires at least (resp. at most) a desired number of live neighbors to remain alive. We study the basic computation problems, e.g., configuration reachability, for these two families of rules. For underpopulation rules, we show that these problems can be solved in polynomial time, whereas for overpopulation rules they are PSPACE-complete."}],"type":"conference","alternative_title":["LIPIcs"]}]