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Pach, János, Morteza Saghafian, and Patrick Schnider. “Decomposition of Geometric Graphs into Star-Forests.”https://doi.org/10.1007/978-3-031-49272-3_23__In 31st International Symposium on Graph Drawing and Network Visualization, 14465:339–46. Springer Nature, 2024.https://doi.org/10.1007/978-3-031-49272-3_23 .
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Cultrera di Montesano, Sebastiano. “Persistence and Morse Theory for Discrete Geometric Structures.”https://doi.org/10.15479/at:ista:15094__Institute of Science and Technology Austria, 2024.https://doi.org/10.15479/at:ista:15094 .
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Cultrera di Montesano, Sebastiano, Herbert Edelsbrunner, Monika H Henzinger, and Lara Ost. “Dynamically Maintaining the Persistent Homology of Time Series.”https://doi.org/10.1137/1.9781611977912.11__In Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), edited by David P. Woodruff, 243–95. Society for Industrial and Applied Mathematics, 2024.https://doi.org/10.1137/1.9781611977912.11 .
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Cultrera di Montesano, Sebastiano, Ondrej Draganov, Herbert Edelsbrunner, and Morteza Saghafian. “Chromatic Alpha Complexes.” ArXiv, n.d.
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Frankl, Peter, János Pach, and Dömötör Pálvölgyi. “Odd-Sunflowers.”https://doi.org/10.1016/j.jcta.2024.105889__Journal of Combinatorial Theory, Series A. Elsevier, 2024.https://doi.org/10.1016/j.jcta.2024.105889 .
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Lieutier, André, and Mathijs Wintraecken. “Hausdorff and Gromov-Hausdorff Stable Subsets of the Medial Axis.”https://doi.org/10.1145/3564246.3585113__In Proceedings of the 55th Annual ACM Symposium on Theory of Computing, 1768–76. Association for Computing Machinery, 2023.https://doi.org/10.1145/3564246.3585113 .
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Edelsbrunner, Herbert, and Georg F Osang. “A Simple Algorithm for Higher-Order Delaunay Mosaics and Alpha Shapes.”https://doi.org/10.1007/s00453-022-01027-6__Algorithmica. Springer Nature, 2023.https://doi.org/10.1007/s00453-022-01027-6 .
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Boissonnat, Jean-Daniel, Ramsay Dyer, Arijit Ghosh, and Mathijs Wintraecken. “Local Criteria for Triangulating General Manifolds.”https://doi.org/10.1007/s00454-022-00431-7__Discrete &; Computational Geometry. Springer Nature, 2023.https://doi.org/10.1007/s00454-022-00431-7 .
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Forghani, Mohammad, Christophe Claramunt, Farid Karimipour, and Georg Heiler. “Visual Analytics of Mobility Network Changes Observed Using Mobile Phone Data during COVID-19 Pandemic.”https://doi.org/10.1109/icdmw58026.2022.00093__In 2022 IEEE International Conference on Data Mining Workshops. Institute of Electrical and Electronics Engineers, 2023.https://doi.org/10.1109/icdmw58026.2022.00093 .
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Koehl, Patrice, Arseniy Akopyan, and Herbert Edelsbrunner. “Computing the Volume, Surface Area, Mean, and Gaussian Curvatures of Molecules and Their Derivatives.”https://doi.org/10.1021/acs.jcim.2c01346__Journal of Chemical Information and Modeling. American Chemical Society, 2023.https://doi.org/10.1021/acs.jcim.2c01346 .
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Kourimska, Hana. “Discrete Yamabe Problem for Polyhedral Surfaces.”https://doi.org/10.1007/s00454-023-00484-2__Discrete and Computational Geometry. Springer Nature, 2023.https://doi.org/10.1007/s00454-023-00484-2 .
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Corbet, René, Michael Kerber, Michael Lesnick, and Georg F Osang. “Computing the Multicover Bifiltration.”https://doi.org/10.1007/s00454-022-00476-8__Discrete and Computational Geometry. Springer Nature, 2023.https://doi.org/10.1007/s00454-022-00476-8 .
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Boissonnat, Jean Daniel, and Mathijs Wintraecken. “The Reach of Subsets of Manifolds.”https://doi.org/10.1007/s41468-023-00116-x__Journal of Applied and Computational Topology. Springer Nature, 2023.https://doi.org/10.1007/s41468-023-00116-x .
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Boissonnat, Jean Daniel, Siargey Kachanovich, and Mathijs Wintraecken. “Tracing Isomanifolds in Rd in Time Polynomial in d Using Coxeter–Freudenthal–Kuhn Triangulations.”https://doi.org/10.1137/21M1412918__SIAM Journal on Computing. Society for Industrial and Applied Mathematics, 2023.https://doi.org/10.1137/21M1412918 .
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comi, Lidija, Gaëlle Largeteau-Skapin, Rita Zrour, Ranita Biswas, and Eric Andres. “Discrete Analytical Objects in the Body-Centered Cubic Grid.”https://doi.org/10.1016/j.patcog.2023.109693__Pattern Recognition. Elsevier, 2023.https://doi.org/10.1016/j.patcog.2023.109693 .
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Dikranjan, D., A. Giordano Bruno, and Nicolò Zava. “Epimorphisms and Closure Operators of Categories of Semilattices.”https://doi.org/10.2989/16073606.2023.2247731__Quaestiones Mathematicae. Taylor &; Francis, 2023.https://doi.org/10.2989/16073606.2023.2247731 .
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Edelsbrunner, Herbert, Alexey Garber, Mohadese Ghafari, Teresa Heiss, and Morteza Saghafian. “On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane.”https://doi.org/10.1007/s00454-023-00566-1__Discrete and Computational Geometry. Springer Nature, 2023.https://doi.org/10.1007/s00454-023-00566-1 .
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Ambrus, Áron, Mónika Csikós, Gergely Kiss, János Pach, and Gábor Somlai. “Optimal Embedded and Enclosing Isosceles Triangles.”https://doi.org/10.1142/S012905412342008X__International Journal of Foundations of Computer Science. World Scientific Publishing, 2023.https://doi.org/10.1142/S012905412342008X .
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Biniaz, Ahmad, Kshitij Jain, Anna Lubiw, Zuzana Masárová, Tillmann Miltzow, Debajyoti Mondal, Anurag Murty Naredla, Josef Tkadlec, and Alexi Turcotte. “Token Swapping on Trees.”https://doi.org/10.46298/DMTCS.8383__Discrete Mathematics and Theoretical Computer Science. EPI Sciences, 2023.https://doi.org/10.46298/DMTCS.8383 .
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Ali, Dashti, Aras Asaad, Maria-Jose Jimenez, Vidit Nanda, Eduardo Paluzo-Hidalgo, and Manuel Soriano Trigueros. “A Survey of Vectorization Methods in Topological Data Analysis.”https://doi.org/10.1109/tpami.2023.3308391__IEEE Transactions on Pattern Analysis and Machine Intelligence. IEEE, 2023.https://doi.org/10.1109/tpami.2023.3308391 .
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Fang, Lixing, Hao Huang, János Pach, Gábor Tardos, and Junchi Zuo. “Successive Vertex Orderings of Fully Regular Graphs.”https://doi.org/10.1016/j.jcta.2023.105776__Journal of Combinatorial Theory. Series A. Elsevier, 2023.https://doi.org/10.1016/j.jcta.2023.105776 .
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Castellano, Ilaria, Anna Giordano Bruno, and Nicolò Zava. “Weakly Weighted Generalised Quasi-Metric Spaces and Semilattices.”https://doi.org/10.1016/j.tcs.2023.114129__Theoretical Computer Science. Elsevier, 2023.https://doi.org/10.1016/j.tcs.2023.114129 .
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Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, and Morteza Saghafian. “Geometric Characterization of the Persistence of 1D Maps.”https://doi.org/10.1007/s41468-023-00126-9__Journal of Applied and Computational Topology. Springer Nature, 2023.https://doi.org/10.1007/s41468-023-00126-9 .
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Stephenson, Elizabeth R. “Generalizing Medial Axes with Homology Switches.”https://doi.org/10.15479/at:ista:14226__Institute of Science and Technology Austria, 2023.https://doi.org/10.15479/at:ista:14226 .
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Chambers, Erin, Christopher D Fillmore, Elizabeth R Stephenson, and Mathijs Wintraecken. “A Cautionary Tale: Burning the Medial Axis Is Unstable.”https://doi.org/10.4230/LIPIcs.SoCG.2022.66__In 38th International Symposium on Computational Geometry, edited by Xavier Goaoc and Michael Kerber, 224:66:1-66:9. LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022.https://doi.org/10.4230/LIPIcs.SoCG.2022.66 .
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Karimipour, Farid, and Sabine Storandt, eds. Web and Wireless Geographical Information Systems. 1st ed. Vol. 13238. Cham: Springer Nature, 2022.https://doi.org/10.1007/978-3-031-06245-2 .
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Bleile, Bea, Adélie Garin, Teresa Heiss, Kelly Maggs, and Vanessa Robins. “The Persistent Homology of Dual Digital Image Constructions.”https://doi.org/10.1007/978-3-030-95519-9_1__In Research in Computational Topology 2, edited by Ellen Gasparovic, Vanessa Robins, and Katharine Turner, 1st ed., 30:1–26. AWMS. Cham: Springer Nature, 2022.https://doi.org/10.1007/978-3-030-95519-9_1 .
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Shipman, Barbara A., and Elizabeth R Stephenson. “Tangible Topology through the Lens of Limits.”https://doi.org/10.1080/10511970.2021.1872750__PRIMUS. Taylor &; Francis, 2022.https://doi.org/10.1080/10511970.2021.1872750 .
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Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada, Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible Matchings.”https://doi.org/10.7155/jgaa.00591__Journal of Graph Algorithms and Applications. Brown University, 2022.https://doi.org/10.7155/jgaa.00591 .
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Boissonnat, Jean-Daniel, and Mathijs Wintraecken. “The Topological Correctness of PL Approximations of Isomanifolds.”https://doi.org/10.1007/s10208-021-09520-0__Foundations of Computational Mathematics . Springer Nature, 2022.https://doi.org/10.1007/s10208-021-09520-0 .
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Dikranjan, Dikran, Anna Giordano Bruno, Hans Peter Künzi, Nicolò Zava, and Daniele Toller. “Generalized Quasi-Metric Semilattices.”https://doi.org/10.1016/j.topol.2021.107916__Topology and Its Applications. Elsevier, 2022.https://doi.org/10.1016/j.topol.2021.107916 .
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Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, and Morteza Saghafian. “Continuous and Discrete Radius Functions on Voronoi Tessellations and Delaunay Mosaics.”https://doi.org/10.1007/s00454-022-00371-2__Discrete and Computational Geometry. Springer Nature, 2022.https://doi.org/10.1007/s00454-022-00371-2 .
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Heiss, Teresa, Sarah Tymochko, Brittany Story, Adélie Garin, Hoa Bui, Bea Bleile, and Vanessa Robins. “The Impact of Changes in Resolution on the Persistent Homology of Images.”https://doi.org/10.1109/BigData52589.2021.9671483__In 2021 IEEE International Conference on Big Data, 3824–34. IEEE, 2022.https://doi.org/10.1109/BigData52589.2021.9671483 .
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Brown, Adam, and Anna Romanov. “Contravariant Pairings between Standard Whittaker Modules and Verma Modules.”https://doi.org/10.1016/j.jalgebra.2022.06.017__Journal of Algebra. Elsevier, 2022.https://doi.org/10.1016/j.jalgebra.2022.06.017 .
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Chang, Yan, Marah Funk, Souvik Roy, Elizabeth R Stephenson, Sangyong Choi, Hristo V. Kojouharov, Benito Chen, and Zui Pan. “Developing a Mathematical Model of Intracellular Calcium Dynamics for Evaluating Combined Anticancer Effects of Afatinib andhttps://doi.org/10.3390/ijms23031763__in Esophageal Cancer.”https://doi.org/10.3390/ijms23031763__International Journal of Molecular Sciences. MDPI, 2022.https://doi.org/10.3390/ijms23031763 .
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Akopyan, Arseniy, and Roman Karasev. “When Different Norms Lead to Same Billiard Trajectories?”https://doi.org/10.1007/s40879-020-00405-0__European Journal of Mathematics. Springer Nature, 2022.https://doi.org/10.1007/s40879-020-00405-0 .
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Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, and Morteza Saghafian. “A Window to the Persistence of 1D Maps. I: Geometric Characterization of Critical Point Pairs.” LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, n.d.
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Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, and Morteza Saghafian. “Depth in Arrangements: Dehn–Sommerville–Euler Relations with Applications.” Leibniz International Proceedings on Mathematics. Schloss Dagstuhl - Leibniz Zentrum für Informatik, n.d.
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Biswas, Ranita, Sebastiano Cultrera di Montesano, Ondrej Draganov, Herbert Edelsbrunner, and Morteza Saghafian. “On the Size of Chromatic Delaunay Mosaics.” ArXiv, n.d.
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Goudarzi, Samira, Mohammad Sharif, and Farid Karimipour. “A Context-Aware Dimension Reduction Framework for Trajectory and Health Signal Analyses.”https://doi.org/10.1007/s12652-021-03569-z__Journal of Ambient Intelligence and Humanized Computing. Springer Nature, 2022.https://doi.org/10.1007/s12652-021-03569-z .
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Adams, Henry, Hana Kourimska, Teresa Heiss, Sarah Percival, and Lori Ziegelmeier. “How to Tutorial-a-Thon.”https://doi.org/10.1090/noti2349__Notices of the American Mathematical Society. American Mathematical Society, 2021.https://doi.org/10.1090/noti2349 .
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Ilharco, Cesar, Afsaneh Shirazi, Arjun Gopalan, Arsha Nagrani, Blae Bratanid, Chris Bregler, Christina Liu, et al. “Recognizing Multimodal Entailment.”https://doi.org/10.18653/v1/2021.acl-tutorials.6__In 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing, Tutorial Abstracts, 29–30. Association for Computational Linguistics, 2021.https://doi.org/10.18653/v1/2021.acl-tutorials.6 .
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Weighill, Thomas, Takamitsu Yamauchi, and Nicolò Zava. “Coarse Infinite-Dimensionality of Hyperspaces of Finite Subsets.”https://doi.org/10.1007/s40879-021-00515-3__European Journal of Mathematics. Springer Nature, 2021.https://doi.org/10.1007/s40879-021-00515-3 .
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Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada, Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible Matchings.”https://doi.org/10.1007/978-3-030-68211-8_18__In 15th International Conference on Algorithms and Computation, 12635:221–33. Springer Nature, 2021.https://doi.org/10.1007/978-3-030-68211-8_18 .
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Edelsbrunner, Herbert, Anton Nikitenko, and Georg F Osang. “A Step in the Delaunay Mosaic of Order K.”https://doi.org/10.1007/s00022-021-00577-4__Journal of Geometry. Springer Nature, 2021.https://doi.org/10.1007/s00022-021-00577-4 .
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Edelsbrunner, Herbert, Teresa Heiss, Vitaliyhttps://doi.org/10.4230/LIPIcs.SoCG.2021.32__Kurlin , Philip Smith, and Mathijs Wintraecken. “The Density Fingerprint of a Periodic Point Set.”https://doi.org/10.4230/LIPIcs.SoCG.2021.32__In 37th International Symposium on Computational Geometry (SoCG 2021), 189:32:1-32:16. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021.https://doi.org/10.4230/LIPIcs.SoCG.2021.32 .
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Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, and Morteza Saghafian. “Counting Cells of Order-k Voronoi Tessellations in d<sup>3</sup> with Morse Theory.”https://doi.org/10.4230/LIPIcs.SoCG.2021.16__In Leibniz International Proceedings in Informatics, Vol. 189. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021.https://doi.org/10.4230/LIPIcs.SoCG.2021.16 .
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comi, Lidija, Rita Zrour, Gaëlle Largeteau-Skapin, Ranita Biswas, and Eric Andres. “Body Centered Cubic Grid - Coordinate System and Discrete Analytical Plane Definition.”https://doi.org/10.1007/978-3-030-76657-3_10__In Discrete Geometry and Mathematical Morphology, 12708:152–63. Springer Nature, 2021.https://doi.org/10.1007/978-3-030-76657-3_10 .
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Aichholzer, Oswin, Hugo A. Akitaya, Kenneth C. Cheung, Erik D. Demaine, Martin L. Demaine, Sándor P. Fekete, Linda Kleist, et al. “Folding Polyominoes with Holes into a Cube.”https://doi.org/10.1016/j.comgeo.2020.101700__Computational Geometry: Theory and Applications. Elsevier, 2021.https://doi.org/10.1016/j.comgeo.2020.101700 .
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