47 citations · 151 across the 69 of their papers we have counts for
6 papers · 1 filter
Laplacian Coefficient, Matching Polynomial and Incidence Energy of of Trees with Described Maximum Degree
Ya-Lei Jin, Yeong-Nan Yeh, Xiao-Dong Zhang
Let be the characteristic polynomial of its Laplacian matrix of a tree . This paper studied some properties of the generat…
The Turan Number of Disjoint Copies of Paths
Long-Tu Yuan, Xiao-Dong Zhang
The Turán number of a graph , , is the maximum number of edges in a simple graph of order which does not contain as a subgraph. Let denote disj…
The Terminal Wiener Index of Trees with Diameter or Maximum Degree
Ya-Hong Chen, Xiao-Dong Zhang
The terminal Wiener index of a tree is the sum of distances for all pairs of pendent vertices, which recently arises in the study of phylogenetic tree reconstruction and the neighb…
Extremal Graph Theory for Degree Sequences
Xiao-Dong Zhang
This paper surveys some recent results and progress on the extremal prob- lems in a given set consisting of all simple connected graphs with the same graphic degree sequence. In pa…
On the spectral radius of simple digraphs with prescribed number of arcs
Ya-Lei Jin, Xiao-Dong Zhang
This paper presents a sharp upper bound for the spectral radius of simple digraphs with described number of arcs. Further, the extremal graphs which attain the maximum spectral rad…
The Second Zagreb Indices of Graphs with Given Degree Sequences
Wei-Gang Yuan, Xiao-Dong Zhang
The second Zagreb index of a graph G is denoted by . In this paper, we investigate properties of the extremal graphs with the maximum second Zagre…