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arXiv:2610.40591 · v1

Maximum Cardinality Matching in $n^{2+o(1)}$ Time

首次提交 2026-10-30 01:48
版本更新 2026-10-30 01:48
雷达观测 2026-10-30 13:28
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摘要

We consider the maximum cardinality matching problem in general graphs, and give an $n^{2+o(1)}$-time algorithm for the problem. Our work builds on recent work on combinatorial algorithms for maximum flow and extends the techniques to skew-symmetric flow problems which capture general matchings as a special case.

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基于摘要 · 非全文审阅

作者提出一个在一般图上以 n^{2+o(1)} 时间求解最大基数匹配的算法,思路是扩展近期组合最大流技术到斜对称流问题。

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v1 · 2026-10-30 01:48 · 最新观测版本

Maximum Cardinality Matching in $n^{2+o(1)}$ Time

We consider the maximum cardinality matching problem in general graphs, and give an $n^{2+o(1)}$-time algorithm for the problem. Our work builds on recent work on combinatorial algorithms for maximum flow and extends the techniques to skew-symmetric flow problems which capture general matchings as a special case.

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