Fractional revival on nonabelian oriented Cayley graphs

Study the existence of fractional revival on oriented Cayley graphs over nonabelian groups.

Background

The paper establishes that oriented Cayley graphs over finite abelian groups do not admit proper fractional revival, while deriving characterizations for proper fractional revival in oriented semi-Cayley graphs over abelian groups. It explicitly identifies extending the Cayley-graph analysis from abelian to nonabelian underlying groups as a problem for future study.