A Simple Deterministic Algorithm for Edge Connectivity
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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 [SODA'17] has a faster running time of O(mlog^2mloglog 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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