Fractional revival on semi-Cayley graphs over abelian groups
Combinatorics
2023-08-07 v1
Abstract
In this paper, we investigate the existence of fractional revival on semi-Cayley graphs over finite abelian groups. We give some necessary and sufficient conditions for semi-Cayley graphs over finite abelian groups admitting fractional revival. We also show that integrality is necessary for some semi-Cayley graphs admitting fractional revival. Moreover, we characterize the minimum time when semi-Cayley graphs admit fractional revival. As applications, we give examples of certain Cayley graphs over the generalized dihedral groups and generalized dicyclic groups admitting fractional revival.
Keywords
Cite
@article{arxiv.2308.02371,
title = {Fractional revival on semi-Cayley graphs over abelian groups},
author = {Jing Wang and Ligong Wang and Xiaogang Liu},
journal= {arXiv preprint arXiv:2308.02371},
year = {2023}
}