English

An odd characterization of the generalized odd graphs

Combinatorics 2012-02-13 v1

Abstract

We show that any connected regular graph with d+1d+1 distinct eigenvalues and odd-girth 2d+12d+1 is distance-regular, and in particular that it is a generalized odd graph.

Keywords

Cite

@article{arxiv.1202.2300,
  title  = {An odd characterization of the generalized odd graphs},
  author = {Edwin R. van Dam and Willem H. Haemers},
  journal= {arXiv preprint arXiv:1202.2300},
  year   = {2012}
}
R2 v1 2026-06-21T20:17:45.937Z