Distance-regular graphs with a few $q$-distance eigenvalues

Mamoon Abdullah; Brhane Gebremichel; Sakander Hayat; Jack H. Koolen

Distance-regular graphs with a few $q$-distance eigenvalues

Combinatorics 2024-01-12 v1

Authors: Mamoon Abdullah , Brhane Gebremichel , Sakander Hayat , Jack H. Koolen

Abstract

In this paper we study when the $q$ -distance matrix of a distance-regular graph has few distinct eigenvalues. We mainly concentrate on diameter 3.

Cite

@article{arxiv.2401.05640,
  title  = {Distance-regular graphs with a few $q$-distance eigenvalues},
  author = {Mamoon Abdullah and Brhane Gebremichel and Sakander Hayat and Jack H. Koolen},
  journal= {arXiv preprint arXiv:2401.05640},
  year   = {2024}
}