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Fully dynamic approximate maximum matching and minimum vertex cover in \(O(\log^3 n)\) worst case update time. (English) Zbl 1409.68204

Klein, Philip N. (ed.), Proceedings of the 28th annual ACM-SIAM symposium on discrete algorithms, SODA 2017, Barcelona, Spain, January 16–19, 2017. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 470-489 (2017).

MSC:

68R10 Graph theory (including graph drawing) in computer science
05C70 Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.)
05C85 Graph algorithms (graph-theoretic aspects)
68P05 Data structures
68Q17 Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.)
68W25 Approximation algorithms