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arXiv · 1609.06522

Computing Vertex-Disjoint Paths using MAOs

Johanna E. Preißer·Jens M. Schmidt
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Abstract

Let G be a graph with minimum degree $\delta$. It is well-known that maximal adjacency orderings (MAOs) compute a vertex set S such that every pair of S is connected by at least $\delta$ internally vertex-disjoint paths in G. We present an algorithm that, given any pair of S, computes these $\delta$ paths in linear time O(n+m). This improves the previously best solutions for these special vertex pairs, which were flow-based. Our algorithm simplifies a proof about pendant pairs of Mader and makes a purely existential proof of Nagamochi algorithmic.

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Johanna E. Preißer, Jens M. Schmidt. 2016-09-21. Computing Vertex-Disjoint Paths using MAOs. https://arxiv.org/abs/1609.06522

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