English

On eigenvalue multiplicity in signed graphs

Combinatorics 2019-11-05 v1

Abstract

For signed graphs we provide a cubic polynomial upper bound on the multiplicity of its eigenvalues. We show that this bound is sharp by providing examples of signed graphs in which it is attained. We also discuss particular cases in which the bound can be decreased.

Keywords

Cite

@article{arxiv.1911.01113,
  title  = {On eigenvalue multiplicity in signed graphs},
  author = {Farzaneh Ramezani and Peter Rowlinson and Zoran Stanic},
  journal= {arXiv preprint arXiv:1911.01113},
  year   = {2019}
}

Comments

13 pages

R2 v1 2026-06-23T12:03:50.025Z