47 citations · 151 across the 69 of their papers we have counts for
5 papers · 1 filter
Potential Distribution on Random Electrical Networks
Da-Qian Qian, Xiao-Dong Zhang
Let be a random electronic network with the boundary vertices which is obtained by assigning a resistance of each edge in a random graph in and the volt…
The Laplacian eigenvalues of graphs: a survey
Xiao-Dong Zhang
The Laplacian matrix of a simple graph is the difference of the diagonal matrix of vertex degree and the (0,1) adjacency matrix. In the past decades, the Laplacian spectrum has rec…
The Laplacian Spectra of Graphs and Complex Networks
Ya-Hong Chen, Rong-Ying Pan, Xiao-Dong Zhang
The paper is a brief survey of some recent new results and progress of the Laplacian spectra of graphs and complex networks (in particular, random graph and the small world network…
Maximum-Size Independent Sets and Automorphism Groups of Tensor Powers of the Even Derangement Graphs
Yun-Ping Deng, Fu-Ji Xie, Xiao-Dong Zhang
Let be the alternating group of even permutations of and the set of even derangements on Denote by $A\T_n^q$ the tensor product of $q…
The Wiener Index of Unicyclic Graphs with Girth and the Matching Number
Ya-Hong Chen, Xiao-Dong Zhang
In this paper, we investigate how the Wiener index of unicyclic graphs varies with graph operations. These results are used to present a sharp lower bound for the Wiener index of u…