Fractional revival on semi-Cayley graphs over abelian groups

Kavli Affiliate: Jing Wang

| First 5 Authors: Jing Wang, Ligong Wang, Xiaogang Liu, ,

| Summary:

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.

| Search Query: ArXiv Query: search_query=au:”Jing Wang”&id_list=&start=0&max_results=3

Read More