Tightness of the Weight‐Distribution Bound for Strongly Regular Polar Graphs
ABSTRACT In this paper, we show the tightness of the weight‐distribution bound for the positive nonprincipal 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 nonprincipal eigenvalue of some unitary polar graphs.
Authors
- Rhys J. Evans (ORCID: https://orcid.org/0000-0002-2837-582X)
- Sergey Goryainov (ORCID: https://orcid.org/0000-0003-1016-6517)
- Leonid Shalaginov (ORCID: https://orcid.org/0000-0001-6912-2493)
Institutions
- Chelyabinsk State University (RU)
- Institute of Mathematics, Physics, and Mechanics (SI)
- Hebei Normal University (CN)
Publication Details
- Journal
- Journal of Combinatorial Designs
- Published
- 2025-08-04
- DOI
- https://doi.org/10.1002/jcd.22001
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00