English

On the signed graphs with two distinct eigenvalues

Combinatorics 2019-07-23 v5 Spectral Theory

Abstract

We consider signed graphs, i.e, graphs with positive or negative signs on their edges. We construct some families of bipartite signed graphs with only two distinct eigenvalues. This leads to constructing infinite families of regular bipartite Ramanujan graphs.

Keywords

Cite

@article{arxiv.1511.03511,
  title  = {On the signed graphs with two distinct eigenvalues},
  author = {F. Ramezani},
  journal= {arXiv preprint arXiv:1511.03511},
  year   = {2019}
}

Comments

To appear in Utilitas Mathematica

R2 v1 2026-06-22T11:42:35.203Z