Tightness of the weight-distribution bound for strongly regular polar graphs
Combinatorics
2024-07-04 v1
Abstract
In this paper we show the tightness of the weight-distribution bound for the positive non-principle eigenvalue of strongly regular (affine) polar graphs and characterise the optimal eigenfunctions. Additionally, we show the tightness of the weight-distribution bound for the negative non-principle eigenvalue of some unitary polar graphs.
Keywords
Cite
@article{arxiv.2407.02780,
title = {Tightness of the weight-distribution bound for strongly regular polar graphs},
author = {Rhys J. Evans and Sergey Goryainov and Leonid Shalaginov},
journal= {arXiv preprint arXiv:2407.02780},
year = {2024}
}