4 papers
math.CO2024
Isomorphisms of bi-Cayley graphs on generalized quaternion groups
Jin-Hua Xie, Zhishuo Zhang
Let be a finite group and be a subset of . The bi-Cayley graph is the graph with vertex set and edge set $\{\{(x,0),(sx,1)\}\mid x…
math.CO2022
Dihedral groups with the -DCI property
Jin-Hua Xie, Yan-Quan Feng, Young Soo Kwon
A Cayley digraph of a group with respect to a subset of is called a CI-digraph if for any Cayley digraph isomorphic to ,…
math.CO2021
Normal Cayley digraphs of dihedral groups with CI-property
Jin-Hua Xie, Yan-Quan Feng, Jin-Xin Zhou
A Cayley (di)graph of a group with respect to is said to be normal if the right regular representation of is normal in the automorphism group of ,…
math.CO2021
Normal Cayley digraphs of cyclic groups with CI-property
Jin-Hua Xie, Yan-Quan Feng, Grigory Ryabov +1
A Cayley (di)graph of a group with respect to a subset of is called normal if the right regular representation of is a normal subgroup in the full automo…