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arXiv · 2608.23542

The number and average length of subpaths in graphs

Stijn Cambie
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Abstract

We study extremal questions on the average length and the number of subpaths in a graph. In particular, we prove the questions of Jamison (from $1983, 1984$) for the analogous concept of the average length of a subpath. Among other results, we prove that $K_n$ maximizes the average path length.

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Stijn Cambie. 2026-08-24. The number and average length of subpaths in graphs. https://arxiv.org/abs/2608.23542

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