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تسجيل مستخدم جديدMinimum Cuts in Directed Graphs via $sqrt{n}$ Max-Flows
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نشر من قبل
Thatchaphol Saranurak
تاريخ النشر
2021
مجال البحث
الهندسة المعلوماتية
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English
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We give an algorithm to find a mincut in an $n$-vertex, $m$-edge weighted directed graph using $tilde O(sqrt{n})$ calls to any maxflow subroutine. Using state of the art maxflow algorithms, this yields a directed mincut algorithm that runs in $tilde O(msqrt{n} + n^2)$ time. This improves on the 30 year old bound of $tilde O(mn)$ obtained by Hao and Orlin for this problem.
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