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Fully Dynamic Matching: Beating 2-Approximation in Δ^ϵ Update Time
[article]
2019
arXiv
pre-print
In fully dynamic graphs, we know how to maintain a 2-approximation of maximum matching extremely fast, that is, in polylogarithmic update time or better. In a sharp contrast and despite extensive studies, all known algorithms that maintain a 2-Ω(1) approximate matching are much slower. Understanding this gap and, in particular, determining the best possible update time for algorithms providing a better-than-2 approximate matching is a major open question. In this paper, we show that for any
arXiv:1911.01839v1
fatcat:cx76uc4ljregzoz65fpmh3lvfa