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A Simple Deterministic Algorithm for Edge Connectivity

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 نشر من قبل Thatchaphol Saranurak
 تاريخ النشر 2020
  مجال البحث الهندسة المعلوماتية
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We show a deterministic algorithm for computing edge connectivity of a simple graph with $m$ edges in $m^{1+o(1)}$ time. Although the fastest deterministic algorithm by Henzinger, Rao, and Wang [SODA17] has a faster running time of $O(mlog^{2}mloglog m)$, we believe that our algorithm is conceptually simpler. The key tool for this simplication is the expander decomposition. We exploit it in a very straightforward way compared to how it has been previously used in the literature.



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