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arXiv · 1705.06068

On the maximum degree of path-pairable planar graphs

António Girão·Gábor Mészáros·Kamil Popielarz·Richard Snyder
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Abstract

A graph is path-pairable if for any pairing of its vertices there exist edge-disjoint paths joining the vertices in each pair. We investigate the behaviour of the maximum degree in path-pairable planar graphs. We show that any $n$-vertex path-pairable planar graph must contain a vertex of degree linear in $n$.

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António Girão, Gábor Mészáros, Kamil Popielarz, Richard Snyder. 2017-05-17. On the maximum degree of path-pairable planar graphs. https://arxiv.org/abs/1705.06068

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