Fractional revival on semi-Cayley graphs over abelian groups

Jing Wang, Ligong Wang, Xiaogang Liu

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)1611-1633
Number of pages23
JournalLinear and Multilinear Algebra
Volume73
Issue number8
DOIs
StatePublished - 2025

Keywords

  • Cayley graph
  • Fractional revival
  • semi-Cayley graph

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