8 papers
An Accurate Lanczos Method for the Matrix Product State Representation
Yu Wang, Zhangyu Yang, Xingyao Wu +1
We improve the convergence of the Lanczos algorithm using the matrix product state representation. As an alternative to the density matrix renormalization group (DMRG), the Lanczos…
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 basic -arc-transitive graphs
Zai Ping Lu, Ruo Yu Song
A connected graph of valency at least is called a basic -arc-transitive graph if its full automorphism group has a subgroup with the following properties: (i)…
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…