activity
20092023
most citedThe Laplacian eigenvalues of graphs: a survey

47 citations · 151 across the 69 of their papers we have counts for

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Showing 2020Show all

6 papers · 1 filter

math.CO2020

Enumerating extreme points of the polytopes of stochastic tensors: an optimization approac

Fuzhen Zhang, Xiao-Dong Zhang

This paper is concerned with the extreme points of the polytopes of stochastic tensors. By a tensor we mean a multi-dimensional array over the real number field. A line-stochastic…

math.CO2020

The Steiner Wiener index of trees with a given segment sequence

Jie Zhang, Hua Wang, Xiao-Dong Zhang

The Steiner distance of vertices in a set is the minimum size of a connected subgraph that contain these vertices. The sum of the Steiner distances over all sets of cardina…

math.CO2020

Coronae graphs and their -eigenvalues

Muhammad Ateeq Tahir, Xiao-Dong Zhang

Let and be two simple connected graphs. The invariant \textit{coronal} of graph is used in order to determine the -eigenvalues of four different types of graph equat…

math.CO2020

The signless Laplacian spectral radius of graphs with forbidding linear forests

Ming-Zhu Chen, A-Ming Liu, Xiao-Dong Zhang

Turán type extremal problem is how to maximize the number of edges over all graphs which do not contain fixed forbidden subgraphs. Similarly, spectral Turán type extremal problem i…

math.CO2020

The expected subtree number index in random polyphenylene and spiro chains

Yu Yang, Xiao-Jun Sun, Jia-Yi Cao +2

Subtree number index of a graph is the number of nonempty subtrees of . It is a structural and counting based topological index that has received more and mo…

math.CO2020

Wiener index of unicycle graphs with given number of even degree vertices

Peter Luo, Cun-Quan Zhang, Xiao-Dong Zhang

The Wiener index of a connected graph is the sum of the distance of all pairs of distinct vertices. It was introduced by Wiener in 1947 to analyze some aspects of branching by fitt…