19 citations · 30 across the 7 of their papers we have counts for
8 papers
On Graph Isomorphism Problem
Wenxue Du
Let and be two simple graphs. A bijection is called an isomorphism between and if $v_i v_j\in E(G)…
On the Automorphism Group of a Graph
Wenxue Du
An automorphism of a graph with vertices is a bijective map from to itself such that for any two verti…
Graph Automorphisms from the Geometric Viewpoint
Wen-Xue Du, Yi-Zheng Fan
An automorphism of a graph is a bijective map from to itself such that for any two vertices and .…
On Wiener polarity index of cactus graphs
Nan Chen, Wen-Xue Du, Yi-Zheng Fan
The Wiener polarity index of a graph G is the number of unordered pairs of vertices u, v such that the distance between u and v is 3. In this paper we give an explicit formula for…
The Nullity of Bicyclic Signed Graphs
Yi-Zheng Fan, Wen-Xue Du, Chun-Long Dong
Let Γbe a signed graph and let A(Γ) be the adjacency matrix of Γ. The nullity of Γis the multiplicity of eigenvalue zero in the spectrum of A(Γ). In this paper we characterize the…
The energy of random graphs
Wenxue Du, Xueliang Li, Yiyang Li
In 1970s, Gutman introduced the concept of the energy $\En(G)$ for a simple graph , which is defined as the sum of the absolute values of the eigenvalues of . This graph inva…