English

Fractional revival on Cayley graphs over abelian groups

Combinatorics 2024-01-17 v2

Abstract

In this paper, we investigate the existence of fractional revival on Cayley graphs over finite abelian groups. We give a necessary and sufficient condition for Cayley graphs over finite abelian groups to have fractional revival. As applications, the existence of fractional revival on circulant graphs and cubelike graphs are characterized.

Keywords

Cite

@article{arxiv.2206.12584,
  title  = {Fractional revival on Cayley graphs over abelian groups},
  author = {Jing Wang and Ligong Wang and Xiaogang Liu},
  journal= {arXiv preprint arXiv:2206.12584},
  year   = {2024}
}
R2 v1 2026-06-24T12:03:43.686Z