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arXiv · 2512.16932

The existence of even factors based on the $A_α$-spectral radius of graphs

Caili Jia·Yong Lu
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Abstract

An even factor of $G$ is a spanning subgraph $F$ such that every vertex in $F$ has a nonzero even degree. Note that $δ(G)\geq2$ is a trivial necessary condition for a graph to have an even factor, where $δ(G)$ is the minimum degree of $G$. In this paper, for a connected graph $G$ with minimum degree $δ$, we establish a lower bound on the $A_α$-spectral radius of $G$ such that $G$ contains an even factor.

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Caili Jia, Yong Lu. 2025-12-10. The existence of even factors based on the $A_α$-spectral radius of graphs. https://arxiv.org/abs/2512.16932

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