Distance-regular graphs with exactly one positive $q$-distance eigenvalue
Combinatorics
2023-05-25 v1
Abstract
In this paper, we study the -distance matrix for a distance-regular graph and show that the -distance matrix of a distance-regular graph with classical parameters () has exactly three distinct eigenvalues, of which one is zero. Moreover, we study distance-regular graphs whose -distance matrix has exactly one positive eigenvalue.
Cite
@article{arxiv.2305.14636,
title = {Distance-regular graphs with exactly one positive $q$-distance eigenvalue},
author = {Jack H. Koolen and Mamoon Abdullah and Brhane Gebremichel and Sakander Hayat},
journal= {arXiv preprint arXiv:2305.14636},
year = {2023}
}
Comments
19 pages