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arXiv · 2308.02371

Fractional revival on semi-Cayley graphs over abelian groups

Jing Wang·Ligong Wang·Xiaogang Liu
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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.

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Jing Wang, Ligong Wang, Xiaogang Liu. 2023-08-04. Fractional revival on semi-Cayley graphs over abelian groups. https://arxiv.org/abs/2308.02371

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