47 citations · 151 across the 69 of their papers we have counts for
8 papers · 1 filter
Laplacian coefficients of unicyclic graphs with the number of leaves and girth
Jie Zhang, Xiao-Dong Zhang
Let be a graph of order and let be the characteristic polynomial of its Laplacian matrix. Motivated by Ilić and Ilić…
The Minimum Spectral Radius of Graphs with the Independence Number
Ya-Lei Jin, Xiao-Dong Zhang
In this paper, we investigate some properties of the Perron vector of connected graphs. These results are used to characterize that all extremal connected graphs with having the mi…
Complete multipartite graphs are determined by their distance spectra
Ya-Lei Jin, Xiao-Dong Zhang
It is well known that the complete multipartite graphs can not be determined by their adjacency spectra. But in this paper, we prove that they can be determined by their distance s…
The Algebraic Connectivity and the Clique Number of Graphs
Ya-Lei Jin, Xiao-Dong Zhang
This paper investigates some relationship between the algebraic connectivity and the clique number of graphs. We characterize all extremal graphs which have the maximum and minimum…
The inertia of weighted unicyclic graphs
Guihai Yu, Xiao-Dong Zhang, Lihua Feng
Let be a weighted graph. The \textit{inertia} of is the triple , where are the number of…
The Wiener and Terminal Wiener indices of trees
Ya-Hong Chen, Xiao-Dong Zhang
Heydari \cite{heydari2013} presented very nice formulae for the Wiener and terminal Wiener indices of generalized Bethe trees. It is pity that there are some errors for the formula…