English

A spectral extremal problem on graphs with given size and matching number

Combinatorics 2020-07-07 v1

Abstract

Brualdi and Hoffman (1985) proposed the problem of determining the maximal spectral radius of graphs with given size. In this paper, we consider the Brualdi-Hoffman type problem of graphs with given matching number. The maximal QQ-spectral radius of graphs with given size and matching number is obtained, and the corresponding extremal graphs are also determined.

Keywords

Cite

@article{arxiv.2007.02008,
  title  = {A spectral extremal problem on graphs with given size and matching number},
  author = {Mingqing Zhai and Jie Xue and Ruifang Liu},
  journal= {arXiv preprint arXiv:2007.02008},
  year   = {2020}
}
R2 v1 2026-06-23T16:50:48.895Z