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arXiv · 2512.00124

Signless Laplacian spectral conditions for even factors in graphs

Lu Li·Hechao Liu·Hongbo Hua·Zenan Du
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Abstract

A spanning subgraph $F$ of a graph $G$ is defined as an even factor of $G$, if the degree $d_F(v)=2k, k\in\mathbb{N}^+$ for every vertex $v\in V(G)$. This note establishes a sufficient condition to ensure that a connected graph $G$ of even order with the minimum degree $δ$ contains an even factor based on the signless Laplacian spectral radius.

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Lu Li, Hechao Liu, Hongbo Hua, Zenan Du. 2025-11-28. Signless Laplacian spectral conditions for even factors in graphs. https://arxiv.org/abs/2512.00124

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