4 papers · 1 filter
Laplacian pretty good edge state transfer in paths
Wei Wang, Xiaogang Liu, Jing Wang
In this paper, we first give a necessary and sufficient condition for a graph to have Laplacian pretty good pair state transfer. As an application of such result, we give a complet…
Fractional revival on Cayley graphs over abelian groups
Jing Wang, Ligong Wang, Xiaogang Liu
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 f…
State transfers in vertex complemented coronas
Jing Wang, Xiaogang Liu
In this paper, we study the existence of perfect state transfer and pretty good state transfer in vertex complemented coronas. We prove that perfect state transfer in vertex comple…
Constructing graphs having Laplacian pair state transfer by an edge perturbation
Wei Wang, Xiaogang Liu, Jing Wang
In this paper, we give some sufficient conditions for graphs with an edge perturbation between twin vertices to have Laplacian perfect pair state transfer as well as Laplacian pret…