{"quality_controlled":"1","scopus_import":"1","title":"New deterministic approximation algorithms for fully dynamic matching","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1604.05765"}],"_id":"11867","doi":"10.1145/2897518.2897568","conference":{"end_date":"2016-06-21","start_date":"2016-06-19","location":"Cambridge, MA, United States","name":"STOC: Symposium on Theory of Computing"},"author":[{"full_name":"Bhattacharya, Sayan","first_name":"Sayan","last_name":"Bhattacharya"},{"last_name":"Henzinger","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","first_name":"Monika H","full_name":"Henzinger, Monika H","orcid":"0000-0002-5008-6530"},{"first_name":"Danupon","full_name":"Nanongkai, Danupon","last_name":"Nanongkai"}],"abstract":[{"text":"We present two deterministic dynamic algorithms for the maximum matching problem. (1) An algorithm that maintains a (2+є)-approximate maximum matching in general graphs with O(poly(logn, 1/є)) update time. (2) An algorithm that maintains an αK approximation of the value of the maximum matching with O(n2/K) update time in bipartite graphs, for every sufficiently large constant positive integer K. Here, 1≤ αK < 2 is a constant determined by the value of K. Result (1) is the first deterministic algorithm that can maintain an o(logn)-approximate maximum matching with polylogarithmic update time, improving the seminal result of Onak et al. [STOC 2010]. Its approximation guarantee almost matches the guarantee of the best randomized polylogarithmic update time algorithm [Baswana et al. FOCS 2011]. Result (2) achieves a better-than-two approximation with arbitrarily small polynomial update time on bipartite graphs. Previously the best update time for this problem was O(m1/4) [Bernstein et al. ICALP 2015], where m is the current number of edges in the graph.","lang":"eng"}],"oa_version":"Preprint","publication":"48th Annual ACM SIGACT Symposium on Theory of Computing","publication_status":"published","extern":"1","type":"conference","date_updated":"2023-02-17T11:08:19Z","language":[{"iso":"eng"}],"publication_identifier":{"isbn":["978-145034132-5"],"issn":["0737-8017"]},"external_id":{"arxiv":["1604.05765"]},"day":"01","status":"public","year":"2016","publisher":"Association for Computing Machinery","page":"398 - 411","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2016-06-01T00:00:00Z","article_processing_charge":"No","month":"06","date_created":"2022-08-16T09:27:35Z","citation":{"apa":"Bhattacharya, S., Henzinger, M. H., &#38; Nanongkai, D. (2016). New deterministic approximation algorithms for fully dynamic matching. In <i>48th Annual ACM SIGACT Symposium on Theory of Computing</i> (pp. 398–411). Cambridge, MA, United States: Association for Computing Machinery. <a href=\"https://doi.org/10.1145/2897518.2897568\">https://doi.org/10.1145/2897518.2897568</a>","ista":"Bhattacharya S, Henzinger MH, Nanongkai D. 2016. New deterministic approximation algorithms for fully dynamic matching. 48th Annual ACM SIGACT Symposium on Theory of Computing. STOC: Symposium on Theory of Computing, 398–411.","chicago":"Bhattacharya, Sayan, Monika H Henzinger, and Danupon Nanongkai. “New Deterministic Approximation Algorithms for Fully Dynamic Matching.” In <i>48th Annual ACM SIGACT Symposium on Theory of Computing</i>, 398–411. Association for Computing Machinery, 2016. <a href=\"https://doi.org/10.1145/2897518.2897568\">https://doi.org/10.1145/2897518.2897568</a>.","ieee":"S. Bhattacharya, M. H. Henzinger, and D. Nanongkai, “New deterministic approximation algorithms for fully dynamic matching,” in <i>48th Annual ACM SIGACT Symposium on Theory of Computing</i>, Cambridge, MA, United States, 2016, pp. 398–411.","short":"S. Bhattacharya, M.H. Henzinger, D. Nanongkai, in:, 48th Annual ACM SIGACT Symposium on Theory of Computing, Association for Computing Machinery, 2016, pp. 398–411.","ama":"Bhattacharya S, Henzinger MH, Nanongkai D. New deterministic approximation algorithms for fully dynamic matching. In: <i>48th Annual ACM SIGACT Symposium on Theory of Computing</i>. Association for Computing Machinery; 2016:398-411. doi:<a href=\"https://doi.org/10.1145/2897518.2897568\">10.1145/2897518.2897568</a>","mla":"Bhattacharya, Sayan, et al. “New Deterministic Approximation Algorithms for Fully Dynamic Matching.” <i>48th Annual ACM SIGACT Symposium on Theory of Computing</i>, Association for Computing Machinery, 2016, pp. 398–411, doi:<a href=\"https://doi.org/10.1145/2897518.2897568\">10.1145/2897518.2897568</a>."}}