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In Approximation Randomization and Combinatorial Optimization Algorithms and Techniques 8th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems APPROX 2005 and 9th InternationalWorkshop on Randomization and Computation RANDOM 2005 Berkeley CA USA August 22-24 2005 Proceedings Chandra Chekuri Klaus Jansen Jos\u00e9 D. P. Rolim and Luca Trevisan (Eds.) (Lecture Notes in Computer Science Vol. 3624). Springer 170\u2013181."},{"key":"e_1_3_2_1_71_1","doi-asserted-by":"publisher","DOI":"10.1145\/2627692.2627694"},{"key":"e_1_3_2_1_72_1","doi-asserted-by":"publisher","DOI":"10.1145\/2488608.2488703"},{"key":"e_1_3_2_1_73_1","doi-asserted-by":"publisher","DOI":"10.1145\/1806689.1806753"},{"key":"e_1_3_2_1_74_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0097539700369909"},{"key":"e_1_3_2_1_75_1","volume-title":"30th International Colloquium, ICALP 2003, Eindhoven, The Netherlands, June 30 - July 4, 2003. 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IEEE Computer Society, 325\u2013334. Shay Solomon. 2016. Fully Dynamic Maximal Matching in Constant Update Time. In IEEE 57th Annual Symposium on Foundations of Computer Science, FOCS 2016, 9-11 October 2016, Hyatt Regency, New Brunswick, New Jersey, USA. IEEE Computer Society, 325\u2013334."},{"key":"e_1_3_2_1_79_1","volume-title":"Fully Dynamic Maximal Matching in Constant Update Time. In IEEE 57th Annual Symposium on Foundations of Computer Science, FOCS 2016","author":"Solomon Shay","year":"2016","unstructured":"Shay Solomon . 2016 . Fully Dynamic Maximal Matching in Constant Update Time. In IEEE 57th Annual Symposium on Foundations of Computer Science, FOCS 2016 , 9-11 October 2016, Hyatt Regency, New Brunswick, New Jersey, USA. IEEE Computer Society, 325\u2013334. Shay Solomon. 2016. Fully Dynamic Maximal Matching in Constant Update Time. In IEEE 57th Annual Symposium on Foundations of Computer Science, FOCS 2016, 9-11 October 2016, Hyatt Regency, New Brunswick, New Jersey, USA. 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