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 language | English |
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Pages (from-to) | 1611-1633 |
Number of pages | 23 |
Journal | Linear and Multilinear Algebra |
Volume | 73 |
Issue number | 8 |
DOIs | |
State | Published - 2025 |
Keywords
- Cayley graph
- Fractional revival
- semi-Cayley graph