Zhibing Chen

activity

20152021

collaborators

6 papers

math.CO2021

The set of stable indices of 0-1 matrices with a given order

Zhibing Chen, Zejun Huang

The stable index of a 0-1 matrix $A$ is defined to be the smallest integer $k$ such that $A^{k + 1}$ is not a 0-1 matrix if such an integer exists; otherwise the stable index of $A$ …

math.CO2019

The stable index of 0-1 matrices

Zhibing Chen, Zejun Huang, Jingru Yan

We introduce the concept of stable index for 0-1 matrices. Let $A$ be a 0-1 square matrix. If $A^{k}$ is a 0-1 matrix for every positive integer $k$ , then the stable index of $A$ is…

math.CO2018

A family of graphs that are determined by their normalized Laplacian spectra

Abraham Berman, Dong-Mei Chen, Zhi-Bing Chen +2

Let $F_{p, q}$ be the generalized friendship graph $K_{1} ⋁ (p K_{q})$ on $pq + 1$ vertices obtained by joining a vertex to all vertices of $p$ disjoint copies of the complete graph $…

math.CO2017

Spectral radius of uniform hypergraphs and degree sequences

Dongmei Chen, Zhibing Chen, Xiao-Dong Zhang

In this paper, we present several upper bounds for the adjacency and signless Laplacian spectral radii of uniform hypergraphs in terms of degree sequences.

math.CO2016

On {0,1} CP Tensors and CP Multi-hypergraphs

Changqing Xu, Zhibing Chen, Liqun Qi

A doubly nonnegative matrix can be written as a Gramian matrix, and a completely positive matrix can therefore be written as a Gramian matrix of some nonnegative vectors. In this p…

math.CO2015

Completely Positive Tensors and Multi-Hypergraphs

Changqing Xu, Ziyan Luo, Liqun Qi

Completely positive graphs have been employed to associate with completely positive matrices for characterizing the intrinsic zero patterns. As tensors have been widely recognized…