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arXiv · 2207.06466

Edge pancyclic derangement graphs

Zequn Lv·Mengyu Cao·Mei Lu
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Abstract

We consider the derangement graph in which the vertices are permutations of $\{ 1,\ldots, n\}$. Two vertices are joined by an edge if the corresponding permutations differ in every position. The derangement graph is known to be Hamiltonian and Hamilton-connected. In this note, we show that the derangement graph is edge pancyclic if $n\ge 4$.

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Zequn Lv, Mengyu Cao, Mei Lu. 2022-07-13. Edge pancyclic derangement graphs. https://arxiv.org/abs/2207.06466

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