Yuli Zhang

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20232025

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3 papers · 1 filter

math.CO2025

An Aα-spectral radius for the existence of {P3, P4, P5}-factors in graphs

Yuli Zhang, Sizhong Zhou

Let $G$ be a connected graph of order $n$ with $n \geq 25$ . A ${P_{3}, P_{4}, P_{5}}$ -factor is a spanning subgraph $H$ of $G$ such that every component of $H$ is isomorphic to an element…

math.CO2024

Toughness and Aα-spectral radius in graphs

Sizhong Zhou, Yuli Zhang, Tao Zhang +1

Let $α \in [0, 1)$ , and let $G$ be a connected graph of order $n$ with $n \geq f (α)$ , where $f (α) = 6$ for $α \in [0, \frac{2}{3}]$ and $f (α) = \frac{4}{1 - α}$ for $α \in (\frac{2}{3}, 1)$ . A gra…

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…