6 papers · 1 filter
On Isomorphisms of Tetravalent Cayley Digraphs over Dihedral Groups
Jin-Hua Xie, Zai Ping Lu, Yan-Quan Feng
Let be a positive integer. A group is said to be an -DCI-group or an -CI-group if has the -DCI property or -CI property for all positive integers at mos…
On 2-arc-transitive graphs of product action type
Zai Ping Lu
In this paper, we discuss the structural information about 2-arc-transitive (non-bipartite and bipartite) graphs of product action type. It is proved that a 2-arc-transitive graph…
On the automorphism groups of graphs with twice prime valency
Hong Ci Liao, Jing Jian Li, Zai Ping Lu
A graph is edge-transitive if its automorphism group acts transitively on the edge set. In this paper, we investigate the automorphism groups of edge-transitive graphs of odd order…
On edge-primitive graphs with soluble edge-stabilizers
Huan Han, Hong Ci Liao, Zai Ping Lu
A graph is edge-primitive if its automorphism group acts primitively on the edge set, and 2-arc-transitive if its automorphism group acts transitively on the set of 2-arcs. In this…
On edge-primitive and 2-arc-transitive graphs
Zaiping Lu
A graph is edge-primitive if its automorphism group acts primitively on the edge set. In this short paper, we prove that a finite 2-arc-transitive edge-primitive graph has almost s…
A class of symmetric graphs with 2-arc-transitive quotients
Bin Jia, Zaiping Lu, Gaixia Wang
Let be a finite X-symmetric graph with a nontrivial X-invariant partition on such that is a connected (X,2)-arc-transitive graph and $Γ…