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- W2894827265 abstract "We present a randomized algorithm to maintain a maximal matching without 3 length augmenting paths in the fully dynamic setting. Consequently, we maintain a $3/2$ approximate maximum cardinality matching. Our algorithm takes expected amortized $O(sqrt{n})$ time where $n$ is the number of vertices in the graph when the update sequence is generated by an oblivious adversary. Over any sequence of $t$ edge insertions and deletions presented by an oblivious adversary, the total update time of our algorithm is $O(tsqrt{n})$ in expectation and $O(tsqrt{n} + n log n)$ with high probability. To the best of our knowledge, our algorithm is the first one to maintain an approximate matching in which all augmenting paths are of length at least $5$ in $o(sqrt{m})$ update time." @default.
- W2894827265 created "2018-10-12" @default.
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- W2894827265 date "2018-10-02" @default.
- W2894827265 modified "2023-09-27" @default.
- W2894827265 title "Fully dynamic 3/2 approximate maximum cardinality matching in O(sqrt{n}) update time." @default.
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- W2894827265 hasPublicationYear "2018" @default.
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