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arxiv: cs/0411064 · v5 · submitted 2004-11-17 · 💻 cs.DS · cs.DM

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Lower-Stretch Spanning Trees

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classification 💻 cs.DS cs.DM
keywords spanningtreeaverageconstructcontainseverygraphlower-stretch
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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 log^2 n).

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