| Issue |
RAIRO-Oper. Res.
Volume 58, Number 5, September-October 2024
|
|
|---|---|---|
| Page(s) | 3859 - 3870 | |
| DOI | https://doi.org/10.1051/ro/2024153 | |
| Published online | 24 September 2024 | |
Spectral sufficient conditions for graph factors containing any edge
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China
* Corresponding author: zhoubo@scnu.edu.cn
Received:
25
April
2024
Accepted:
19
July
2024
A factor of a graph is a spanning subgraph. Spectral sufficient conditions are provided via spectral radius and signless Laplacian spectral radius for graphs with (i) a matching of given size (particularly, 1-factor) containing any given edge, and (ii) a star factor with a component isomorphic to stars of order two or three containing any given edge, respectively.
Mathematics Subject Classification: 05C50
Key words: 1-factor / star factor / spectral radius / signless Laplacian spectral radius
© The authors. Published by EDP Sciences, ROADEF, SMAI 2024
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