5 citations · 26 across the 37 of their papers we have counts for
7 papers · 1 filter
An infinite family of cubic nonnormal Cayley graphs on nonabelian simple groups
Jiyong Chen, Binzhou Xia, Jin-Xin Zhou
We construct a connected cubic nonnormal Cayley graph on for each integer and determine its full automorphism group. This is the first infinite f…
Weak metacirculants of odd prime power order
Jin-Xin Zhou, Sanming Zhou
Metacirculants are a basic and well-studied family of vertex-transitive graphs, and weak metacirculants are generalizations of them. A graph is called a weak metacirculant if it ha…
Cubic edge-transitive bi--metacirculant
Yan-Li Qin, Jin-Xin Zhou
A graph is said to be a bi-Cayley graph over a group H if it admits H as a group of automorphisms acting semiregularly on its vertices with two orbits. For a prime p, we call a bi-…
On -Extra Connectivity of Hypercube-like Networks
Jin-Xin Zhou
Given a connected graph and a non-negative integer , the {\em -extra connectivity} $\k_g(G)$ of is the minimum cardinality of a set of vertices in , if it exists,…
Every finite group has a normal bi-Cayley graph
Jin-Xin Zhou
A graph $\G$ with a group of automorphisms acting semiregularly on the vertices with two orbits is called a {\em bi-Cayley graph} over . When is a normal subgroup of $\A…
Edge-transitive bi-Cayley graphs
Marston Conder, Jin-Xin Zhou, Yan-Quan Feng +1
A graph $\G$ admitting a group of automorphisms acting semi-regularly on the vertices with exactly two orbits is called a {\em bi-Cayley graph\/} over . Such a graph $\G$ is…
Pentavalent symmetric graphs of order twice a prime power
Yan-Quan Feng, Jin-Xin Zhou, Yan-Tao Li
A connected symmetric graph of prime valency is {\em basic} if its automorphism group contains no nontrivial normal subgroup having more than two orbits. Let be a prime and …