13 papers
Fractional revival on oriented Cayley and semi-Cayley graphs over abelian groups
Ming Jiang, Xiaogang Liu, Jing Wang
Fractional revival (FR), a generalization of perfect state transfer (PST), is a significant phenomenon in quantum state transfer that allows quantum information to be transmitted b…
Strong counterexamples to Mubayi's supersaturation conjecture in every uniformity
Heng Li, Hong Liu, Xizhi Liu +1
The supersaturation problem asks, for a fixed -graph , for the minimum number of copies of in an -vertex -graph with $\ex(n,\mathcal F)+q$ edges.…
Pair state transfer in tensor product and double cover
Ming Jiang, Xiaogang Liu, Jing Wang
Quantum state transfer, first introduced by Bose in 2003, is an important physical phenomenon in quantum networks, which plays a vital role in quantum communication and quantum com…
Enumeration of Cayley graphs over a nonabelian group of order
Bei Ye, Xiaogang Liu, Jing Wang
Let be a nonabelian group of order , where is an odd prime number. In this paper, we give…
Enumeration of dicirculant digraphs
Jing Wang, Ligong Wang, Xiaogang Liu
Let be the dicyclic group of order . A Cayley digraph over is called a dicirculant digraph. In this p…
Laplacian pair state transfer in Q-graph
Ming Jiang, Xiaogang Liu, Jing Wang
In 2018, Chen and Godsil proposed the concept of Laplacian perfect pair state transfer which is a brilliant generalization of Laplacian perfect state transfer. In this paper, we st…
Integral Cayley graphs over a group of order
Jing Wang, Xiaogang Liu, Ligong Wang
In this paper, we study the integral Cayley graphs over a non-abelian group of order . We give a necessary and suf…
Pretty good fractional revival on Cayley graphs over dicyclic groups
Jing Wang, Ligong Wang, Xiaogang Liu
In this paper, we investigate the existence of pretty good fractional revival on Cayley graphs over dicyclic groups. We first give a necessary and sufficient description for Cayley…
Fractional revival on semi-Cayley graphs over abelian groups
Jing Wang, Ligong Wang, Xiaogang Liu
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…
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…