Sizhong Zhou

activity

20142024

most citedSignless Laplacian spectral radius for a k-extendable graph

2 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

math.CO2024

Aα-spectral radius and path-factor covered graphs

Sizhong Zhou, Hongxia Liu, Qiuxiang Bian

Let $α \in [0, 1)$ , and let $G$ be a connected graph of order $n$ with $n \geq f (α)$ , where $f (α) = 14$ for $α \in [0, \frac{1}{2}]$ , $f (α) = 17$ for $α \in (\frac{1}{2}, \frac{2}{3}]$ , $f(α)=20…

math.CO2023

Sufficient conditions for fractional [a,b]-deleted graphs

Sizhong Zhou, Yuli Zhang

Let $a$ and $b$ be two positive integers with $a \leq b$ , and let $G$ be a graph with vertex set $V (G)$ and edge set $E (G)$ . Let $h : E (G) \to [0, 1]$ be a function. If $a\leq\su…

math.CO2023

Some existence theorems on path-factor critical avoidable graphs

Sizhong Zhou, Hongxia Liu

A spanning subgraph $F$ of $G$ is called a path factor if every component of $F$ is a path of order at least 2. Let $k \geq 2$ be an integer. A $P_{\geq k}$ -factor of $G$ means a pat…

math.CO2023★ 2 cited

Signless Laplacian spectral radius for a k-extendable graph

Sizhong Zhou, Yuli Zhang

Let $k$ and $n$ be two nonnegative integers with $n \equiv 0$ (mod 2), and let $G$ be a graph of order $n$ with a 1-factor. Then $G$ is said to be $k$ -extendable for $0\leq k\leq\fra…

math.CO2014

All fractional (g,f)-factors in graphs

Zhiren Sun, Sizhong Zhou

Let $G$ be a graph, and $g, f : V (G) \to N$ be two functions with $g (x) \leq f (x)$ for each vertex $x$ in $G$ . We say that $G$ has all fractional $(g, f)$ -factors if $G$ includes…