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arXiv · 2305.16108

A spectral radius condition for a graph to have $(a,b)$-parity factors

Junjie Wang·Yang Yu·Jianbiao Hu·Peng Wen
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Abstract

Let $a,b$ be two positive integers such that $a \le b$ and $a \equiv b$ (mod $2$). We say that a graph $G$ has an $(a,b)$-parity factor if $G$ has a spanning subgraph $F$ such that $d_{F}(v) \equiv b$ (mod $2$) and $a \le d_{F}(v) \le b$ for all $v \in V (G)$. In this paper, we provide a tight spectral radius condition for a graph to have $(a,b)$-parity factors.

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Junjie Wang, Yang Yu, Jianbiao Hu, Peng Wen. 2023-05-25. A spectral radius condition for a graph to have $(a,b)$-parity factors. https://arxiv.org/abs/2305.16108

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