Kavli Affiliate: Jing Wang
| First 5 Authors: Ming Jiang, Xiaogang Liu, Jing Wang, ,
| Summary:
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 study the existence of Laplacian perfect pair state
transfer in the Q-graph of an $r$-regular graph for $rge2$. We prove that the
Q-graph of an $r$-regular graph does not have Laplacian perfect pair state
transfer when $r+1$ is prime or a power of $2$. We also give a sufficient
condition for Q-graph to have Laplacian pretty good pair state transfer.
| Search Query: ArXiv Query: search_query=au:”Jing Wang”&id_list=&start=0&max_results=3