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arXiv · 1203.4483

From edge-disjoint paths to independent paths

Serge Gaspers
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Abstract

Let f(k) denote the maximum such that every simple undirected graph containing two vertices s,t and k edge-disjoint s-t paths, also contains two vertices u,v and f(k) independent u-v paths. Here, a set of paths is independent if none of them contains an interior vertex of another. We prove that f(k)=k if k<3, and f(k)=3 otherwise.

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Serge Gaspers. 2012-03-20. From edge-disjoint paths to independent paths. https://arxiv.org/abs/1203.4483

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