Cliques in representation graphs of quadratic forms
Abstract
Abstract We study cliques in graphs arising from quadratic forms where the vertices are the elements of the module of the quadratic form and two vertices are adjacent if their difference represents some fixed scalar. We determine structural properties and the clique number for quadratic forms over finite rings. We further extend previous results about graphs arising from such forms and forms over fields of characteristic 0 in a unified framework.
Fields of Study & Subjects
Finite Group Theory Research
Commutative Algebra and Its Applications
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Journal of Algebraic Combinatorics
- Volume
- 63
- Issue
- 1
- Publication date
- 6 January 2026
- Language
- EN