Fractional revival on Cayley graphs over abelian groups

2022/06/25 by Wang, Jing, Wang, Ligong, Liu, Xiaogang · 1 citation
#05C50 #81P68 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2206.12584

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.

Cited by

• State Transfer on Unitary Cayley Graphs and Quadratic Unitary Cayley Graphs

Related

• Fractional revival on semi-Cayley graphs over abelian groups
• Pretty good fractional revival on Cayley graphs over dicyclic groups
• Fractional revival on abelian Cayley graphs
• Fractional revival on quasi-abelian Cayley graphs
• Pretty good fractional revival on abelian Cayley graphs