English

Signless Laplacian spectral conditions for even factors in graphs

Combinatorics 2025-12-02 v1

Abstract

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

Keywords

Cite

@article{arxiv.2512.00124,
  title  = {Signless Laplacian spectral conditions for even factors in graphs},
  author = {Lu Li and Hechao Liu and Hongbo Hua and Zenan Du},
  journal= {arXiv preprint arXiv:2512.00124},
  year   = {2025}
}

Comments

9 pages