11 citations · 21 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
On the Two Conjectures of the Wiener Index
Ya-Lei Jin, Xiao-Dong Zhang
The Wiener index of a graph, which is the sum of the distances between all pairs of vertices, has been well studied. Recently, Sills and Wang in 2012 proposed two conjectures on th…