AI 中文总结
研究二分图完美匹配的 NC 检测准则，提出[CGGRT26]中准则的更简单表述及改进参数的变体，助力在 NC 中检测二分图完美匹配，推动相关算法发展。
AI 中文摘要
Chatterjee、Ghosh、Gurjar、Raj 和 Thierauf [CGGRT26] 的突破性工作给出了首个用于二分匹配问题的确定性 NC 算法，能在 NC 中检测并找到二分图的完美匹配。本文给出了[CGGRT26]中 NC 检测准则的一个表述或许更简单且参数有所改进的变体。
英文摘要
The recent breakthrough work of Chatterjee, Ghosh, Gurjar, Raj and Thierauf [CGGRT26] gives the first deterministic NC algorithm for the bipartite matching problem. They show how to detect as well as find perfect matchings in bipartite graphs in NC. In this note we present an arguably simpler-to-state variation of the NC detection criterion of [CGGRT26], with improved parameters.
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