{"publication_identifier":{"eissn":["1611-3349"],"eisbn":["9783319130750"],"isbn":["9783319130743"],"issn":["0302-9743"]},"volume":8889,"date_updated":"2023-02-23T12:20:55Z","type":"conference","publication":"25th International Symposium, ISAAC 2014","publication_status":"published","abstract":[{"text":"In this paper, we introduce planar matchings on directed pseudo-line arrangements, which yield a planar set of pseudo-line segments such that only matching-partners are adjacent. By translating the planar matching problem into a corresponding stable roommates problem we show that such matchings always exist.\r\nUsing our new framework, we establish, for the first time, a complete, rigorous definition of weighted straight skeletons, which are based on a so-called wavefront propagation process. We present a generalized and unified approach to treat structural changes in the wavefront that focuses on the restoration of weak planarity by finding planar matchings.","lang":"eng"}],"doi":"10.1007/978-3-319-13075-0_10","author":[{"full_name":"Biedl, Therese","first_name":"Therese","last_name":"Biedl"},{"id":"4700A070-F248-11E8-B48F-1D18A9856A87","last_name":"Huber","orcid":"0000-0002-8871-5814","first_name":"Stefan","full_name":"Huber, Stefan"},{"last_name":"Palfrader","first_name":"Peter","full_name":"Palfrader, Peter"}],"conference":{"location":"Jeonju, Korea","name":"ISAAC: International Symposium on Algorithms and Computation","start_date":"2014-12-15","end_date":"2014-12-17"},"_id":"10892","alternative_title":["LNCS"],"related_material":{"record":[{"status":"public","id":"481","relation":"later_version"}]},"citation":{"ieee":"T. Biedl, S. Huber, and P. Palfrader, “Planar matchings for weighted straight skeletons,” in 25th International Symposium, ISAAC 2014, Jeonju, Korea, 2014, vol. 8889, pp. 117–127.","ama":"Biedl T, Huber S, Palfrader P. Planar matchings for weighted straight skeletons. In: 25th International Symposium, ISAAC 2014. Vol 8889. Springer Nature; 2014:117-127. doi:10.1007/978-3-319-13075-0_10","mla":"Biedl, Therese, et al. “Planar Matchings for Weighted Straight Skeletons.” 25th International Symposium, ISAAC 2014, vol. 8889, Springer Nature, 2014, pp. 117–27, doi:10.1007/978-3-319-13075-0_10.","short":"T. Biedl, S. Huber, P. Palfrader, in:, 25th International Symposium, ISAAC 2014, Springer Nature, 2014, pp. 117–127.","apa":"Biedl, T., Huber, S., & Palfrader, P. (2014). Planar matchings for weighted straight skeletons. In 25th International Symposium, ISAAC 2014 (Vol. 8889, pp. 117–127). Jeonju, Korea: Springer Nature. https://doi.org/10.1007/978-3-319-13075-0_10","chicago":"Biedl, Therese, Stefan Huber, and Peter Palfrader. “Planar Matchings for Weighted Straight Skeletons.” In 25th International Symposium, ISAAC 2014, 8889:117–27. Springer Nature, 2014. https://doi.org/10.1007/978-3-319-13075-0_10.","ista":"Biedl T, Huber S, Palfrader P. 2014. Planar matchings for weighted straight skeletons. 25th International Symposium, ISAAC 2014. ISAAC: International Symposium on Algorithms and Computation, LNCS, vol. 8889, 117–127."},"date_created":"2022-03-21T07:09:03Z","month":"11","article_processing_charge":"No","acknowledgement":"T. Biedl was supported by NSERC and the Ross and Muriel Cheriton Fellowship. P. Palfrader was supported by Austrian Science Fund (FWF): P25816-N15.","department":[{"_id":"HeEd"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"117-127","status":"public","intvolume":" 8889","language":[{"iso":"eng"}],"oa_version":"None","title":"Planar matchings for weighted straight skeletons","scopus_import":"1","quality_controlled":"1","date_published":"2014-11-08T00:00:00Z","publisher":"Springer Nature","year":"2014","day":"08"}