English

Edge pancyclic derangement graphs

Combinatorics 2022-07-15 v1

Abstract

We consider the derangement graph in which the vertices are permutations of {1,,n}\{ 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 n4n\ge 4.

Keywords

Cite

@article{arxiv.2207.06466,
  title  = {Edge pancyclic derangement graphs},
  author = {Zequn Lv and Mengyu Cao and Mei Lu},
  journal= {arXiv preprint arXiv:2207.06466},
  year   = {2022}
}

Comments

7 pages, 1 figure

R2 v1 2026-06-25T00:53:39.127Z