English

The spectral radius of unbalanced signed graphs without negative $C_3$ or $C_4$

Combinatorics 2024-07-24 v1

Abstract

A signed graph is a graph in which every edge carries a ++ or a - sign. In this paper, we determine the signed graphs with maximum spectral radius among all unbalanced signed graphs with fixed order that contain neither negative three-cycles nor negative four-cycles.

Keywords

Cite

@article{arxiv.2407.15898,
  title  = {The spectral radius of unbalanced signed graphs without negative $C_3$ or $C_4$},
  author = {Yiting Cai and Bo Zhou},
  journal= {arXiv preprint arXiv:2407.15898},
  year   = {2024}
}