[{"extern":"1","related_material":{"record":[{"status":"public","relation":"later_version","id":"11890"}]},"abstract":[{"lang":"eng","text":"We present the first deterministic data structures for maintaining approximate minimum vertex cover and maximum matching in a fully dynamic graph in  time per update. In particular, for minimum vertex cover we provide deterministic data structures for maintaining a (2 + ε) approximation in O(log n/ε2) amortized time per update. For maximum matching, we show how to maintain a (3 + e) approximation in O(m1/3/ε2) amortized time per update, and a (4 + ε) approximation in O(m1/3/ε2) worst-case time per update. Our data structure for fully dynamic minimum vertex cover is essentially near-optimal and settles an open problem by Onak and Rubinfeld [13]."}],"month":"01","date_published":"2014-01-01T00:00:00Z","publication_status":"published","_id":"11875","quality_controlled":"1","citation":{"mla":"Bhattacharya, Sayan, et al. “Deterministic Fully Dynamic Data Structures for Vertex Cover and Matching.” <i>26th Annual ACM-SIAM Symposium on Discrete Algorithms</i>, Society for Industrial and Applied Mathematics, 2014, pp. 785–804, doi:<a href=\"https://doi.org/10.1137/1.9781611973730.54\">10.1137/1.9781611973730.54</a>.","chicago":"Bhattacharya, Sayan, Monika Henzinger, and Giuseppe F. Italiano. “Deterministic Fully Dynamic Data Structures for Vertex Cover and Matching.” In <i>26th Annual ACM-SIAM Symposium on Discrete Algorithms</i>, 785–804. Society for Industrial and Applied Mathematics, 2014. <a href=\"https://doi.org/10.1137/1.9781611973730.54\">https://doi.org/10.1137/1.9781611973730.54</a>.","ista":"Bhattacharya S, Henzinger M, Italiano GF. 2014. Deterministic fully dynamic data structures for vertex cover and matching. 26th Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium on Discrete Algorithms, 785–804.","apa":"Bhattacharya, S., Henzinger, M., &#38; Italiano, G. F. (2014). Deterministic fully dynamic data structures for vertex cover and matching. In <i>26th Annual ACM-SIAM Symposium on Discrete Algorithms</i> (pp. 785–804). San Diego, CA, United States: Society for Industrial and Applied Mathematics. <a href=\"https://doi.org/10.1137/1.9781611973730.54\">https://doi.org/10.1137/1.9781611973730.54</a>","ieee":"S. Bhattacharya, M. Henzinger, and G. F. Italiano, “Deterministic fully dynamic data structures for vertex cover and matching,” in <i>26th Annual ACM-SIAM Symposium on Discrete Algorithms</i>, San Diego, CA, United States, 2014, pp. 785–804.","ama":"Bhattacharya S, Henzinger M, Italiano GF. Deterministic fully dynamic data structures for vertex cover and matching. In: <i>26th Annual ACM-SIAM Symposium on Discrete Algorithms</i>. Society for Industrial and Applied Mathematics; 2014:785-804. doi:<a href=\"https://doi.org/10.1137/1.9781611973730.54\">10.1137/1.9781611973730.54</a>","short":"S. Bhattacharya, M. Henzinger, G.F. Italiano, in:, 26th Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics, 2014, pp. 785–804."},"publication_identifier":{"eisbn":["978-1-61197-373-0"],"isbn":["978-1-61197-374-7"]},"publication":"26th Annual ACM-SIAM Symposium on Discrete Algorithms","title":"Deterministic fully dynamic data structures for vertex cover and matching","arxiv":1,"oa_version":"Preprint","author":[{"full_name":"Bhattacharya, Sayan","first_name":"Sayan","last_name":"Bhattacharya"},{"id":"540c9bbd-f2de-11ec-812d-d04a5be85630","last_name":"Henzinger","first_name":"Monika H","orcid":"0000-0002-5008-6530","full_name":"Henzinger, Monika H"},{"full_name":"Italiano, Giuseppe F.","first_name":"Giuseppe F.","last_name":"Italiano"}],"day":"01","date_updated":"2024-11-06T12:22:53Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Society for Industrial and Applied Mathematics","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1412.1318"}],"article_processing_charge":"No","date_created":"2022-08-16T12:36:42Z","language":[{"iso":"eng"}],"type":"conference","page":"785-804","conference":{"start_date":"2015-01-04","name":"SODA: Symposium on Discrete Algorithms","location":"San Diego, CA, United States","end_date":"2015-01-06"},"oa":1,"year":"2014","external_id":{"arxiv":["1412.1318"]},"status":"public","doi":"10.1137/1.9781611973730.54","scopus_import":"1"}]