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arXiv · 1707.04247

On the maximum diameter of path-pairable graphs

Antonio Girao·Gabor Meszaros·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 obtain sharp bounds on the maximum possible diameter of path-pairable graphs which either have a given number of edges, or are c- degenerate. Along the way we show that a large family of graphs obtained by blowing up a path is path-pairable, which may be of independent interest.

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Antonio Girao, Gabor Meszaros, Kamil Popielarz, Richard Snyder. 2017-07-13. On the maximum diameter of path-pairable graphs. https://arxiv.org/abs/1707.04247

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