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Fractional revival on Cayley graphs over abelian groups (2206.12584v2)
Published 25 Jun 2022 in math.CO
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.