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Lower-Stretch Spanning Trees

Michael Elkin, Yuval Emek, Daniel A. Spielman, Shang-Hua Teng

cs.DSarXiv:cs/0411064

Abstract

We prove that every weighted graph contains a spanning tree subgraph of average stretch O((log n log log n)2). Moreover, we show how to construct such a tree in time O(m log2 n).

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