{"_id":"1590","title":"Representing directed trees as straight skeletons","oa":1,"date_created":"2018-12-11T11:52:54Z","scopus_import":"1","day":"27","quality_controlled":"1","abstract":[{"lang":"eng","text":"The straight skeleton of a polygon is the geometric graph obtained by tracing the vertices during a mitered offsetting process. It is known that the straight skeleton of a simple polygon is a tree, and one can naturally derive directions on the edges of the tree from the propagation of the shrinking process. In this paper, we ask the reverse question: Given a tree with directed edges, can it be the straight skeleton of a polygon? And if so, can we find a suitable simple polygon? We answer these questions for all directed trees where the order of edges around each node is fixed."}],"publication":"Graph Drawing and Network Visualization","publisher":"Springer Nature","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","publist_id":"5581","status":"public","publication_identifier":{"eisbn":["978-3-319-27261-0"],"isbn":["978-3-319-27260-3"]},"author":[{"full_name":"Aichholzer, Oswin","first_name":"Oswin","last_name":"Aichholzer"},{"full_name":"Biedl, Therese","first_name":"Therese","last_name":"Biedl"},{"first_name":"Thomas","last_name":"Hackl","full_name":"Hackl, Thomas"},{"last_name":"Held","first_name":"Martin","full_name":"Held, Martin"},{"last_name":"Huber","first_name":"Stefan","full_name":"Huber, Stefan","id":"4700A070-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8871-5814"},{"full_name":"Palfrader, Peter","last_name":"Palfrader","first_name":"Peter"},{"last_name":"Vogtenhuber","first_name":"Birgit","full_name":"Vogtenhuber, Birgit"}],"date_published":"2015-11-27T00:00:00Z","alternative_title":["LNCS"],"language":[{"iso":"eng"}],"article_processing_charge":"No","oa_version":"Preprint","main_file_link":[{"url":"http://arxiv.org/abs/1508.01076","open_access":"1"}],"page":"335 - 347","date_updated":"2022-01-28T09:10:37Z","volume":9411,"conference":{"location":"Los Angeles, CA, United States","name":"GD: International Symposium on Graph Drawing","start_date":"2015-09-24","end_date":"2015-09-26"},"intvolume":"      9411","doi":"10.1007/978-3-319-27261-0_28","year":"2015","department":[{"_id":"HeEd"}],"citation":{"mla":"Aichholzer, Oswin, et al. “Representing Directed Trees as Straight Skeletons.” <i>Graph Drawing and Network Visualization</i>, vol. 9411, Springer Nature, 2015, pp. 335–47, doi:<a href=\"https://doi.org/10.1007/978-3-319-27261-0_28\">10.1007/978-3-319-27261-0_28</a>.","apa":"Aichholzer, O., Biedl, T., Hackl, T., Held, M., Huber, S., Palfrader, P., &#38; Vogtenhuber, B. (2015). Representing directed trees as straight skeletons. In <i>Graph Drawing and Network Visualization</i> (Vol. 9411, pp. 335–347). Los Angeles, CA, United States: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-319-27261-0_28\">https://doi.org/10.1007/978-3-319-27261-0_28</a>","ama":"Aichholzer O, Biedl T, Hackl T, et al. Representing directed trees as straight skeletons. In: <i>Graph Drawing and Network Visualization</i>. Vol 9411. Springer Nature; 2015:335-347. doi:<a href=\"https://doi.org/10.1007/978-3-319-27261-0_28\">10.1007/978-3-319-27261-0_28</a>","chicago":"Aichholzer, Oswin, Therese Biedl, Thomas Hackl, Martin Held, Stefan Huber, Peter Palfrader, and Birgit Vogtenhuber. “Representing Directed Trees as Straight Skeletons.” In <i>Graph Drawing and Network Visualization</i>, 9411:335–47. Springer Nature, 2015. <a href=\"https://doi.org/10.1007/978-3-319-27261-0_28\">https://doi.org/10.1007/978-3-319-27261-0_28</a>.","short":"O. Aichholzer, T. Biedl, T. Hackl, M. Held, S. Huber, P. Palfrader, B. Vogtenhuber, in:, Graph Drawing and Network Visualization, Springer Nature, 2015, pp. 335–347.","ista":"Aichholzer O, Biedl T, Hackl T, Held M, Huber S, Palfrader P, Vogtenhuber B. 2015.Representing directed trees as straight skeletons. In: Graph Drawing and Network Visualization. LNCS, vol. 9411, 335–347.","ieee":"O. Aichholzer <i>et al.</i>, “Representing directed trees as straight skeletons,” in <i>Graph Drawing and Network Visualization</i>, vol. 9411, Springer Nature, 2015, pp. 335–347."},"publication_status":"published","type":"book_chapter","month":"11"}