English

The graphs with all but two eigenvalues equal to $-2$ or $0$

Combinatorics 2016-07-11 v3

Abstract

We determine all graphs for which the adjacency matrix has at most two eigenvalues (multiplicities included) not equal to 2-2, or 00, and determine which of these graphs are determined by their adjacency spectrum.

Keywords

Cite

@article{arxiv.1601.05604,
  title  = {The graphs with all but two eigenvalues equal to $-2$ or $0$},
  author = {Sebastian M. Cioaba and Willem H. Haemers and Jason R. Vermette},
  journal= {arXiv preprint arXiv:1601.05604},
  year   = {2016}
}
R2 v1 2026-06-22T12:34:05.063Z