Zhiren Sun

activity

20132026

collaborators

5 papers

math.CO2026

Spectral radii and star-factors with large components

Zhiren Sun, Sizhong Zhou

Let $G$ be a connected graph with $n$ vertices. The isolated toughness of $G$ , denoted by $I (G)$ , is defined by $I(G)=\min\left\{\frac{|S|}{i(G-S)}:S\subseteq V(G) \ \mbox{and} \ i…

math.CO2023

Spectral radius and k-factor-critical graphs

Sizhong Zhou, Zhiren Sun, Yuli Zhang

For a nonnegative integer $k$ , a graph $G$ is said to be $k$ -factor-critical if $G - Q$ admits a perfect matching for any $Q \subseteq V (G)$ with $∣ Q ∣ = k$ . In this article, we prove sp…

math.CO2022

Some sufficient conditions for path-factor uniform graphs

Sizhong Zhou, Zhiren Sun, Hongxia Liu

For a set $H$ of connected graphs, a spanning subgraph $H$ of $G$ is called an $H$ -factor of $G$ if each component of $H$ is isomorphic to an element of $\mathc…

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…

math.CO2013

A neighborhood condition for fractional ID-[a,b]-factor-critical graphs

Sizhong Zhou, Fan Yang, Zhiren Sun

Let $G$ be a graph of order $n$ , and let $a$ and $b$ be two integers with $1 \leq a \leq b$ . Let $h : E (G) \to [0, 1]$ be a function. If $a \leq \sum_{e ∋ x} h (e) \leq b$ holds for…