4 citations · 8 across the 11 of their papers we have counts for
15 papers
A characterisation of edge-affine -arc-transitive covers of $\K_{2^n,2^n}$
Daniel R. Hawtin, Cheryl E. Praeger, Jin-Xin Zhou
We introduce the notion of an \emph{-dimensional mixed dihedral group}, a general class of groups for which we give a graph theoretic characterisation. In particular, if is…
Finite -connected-set-homogeneous locally $2\K_n$ graphs and -arc-transitive graphs
Jinxin Zhou
In this paper, all graphs are assumed to be finite. For and a graph $\G$, if for every pair of isomorphic connected induced subgraphs on at most vertices there exists…
Prime-valent Symmetric graphs with a quasi-semiregular automorphism
Fu-Gang Yin, Yan-Quan Feng, Jin-Xin Zhou +1
An automorphism of a graph is called quasi-semiregular if it fixes a unique vertex of the graph and its remaining cycles have the same length. This kind of symmetry of graphs was f…
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 ,…
Two-distance transitive normal Cayley graphs
Jun-Jie Huang, Yan-Quan Feng, Jin-Xin Zhou
In this paper, we construct an infinite family of normal Cayley graphs, which are -distance-transitive but neither distance-transitive nor -arc-transitive. This answers a que…
Stability of pair graphs
Yan-Li Qin, Binzhou Xia, Jin-Xin Zhou +1
We start up the study of the stability of general graph pairs. This notion is a generalization of the concept of the stability of graphs. We say that a pair of graphs is st…