Year: 2026
Type: article
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.
Authors: Nico Lorenz, Marc Christian Zimmermann
Institutions: Ruhr University Bochum, University of Cologne
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
Funder: Ruhr-Universität Bochum
OpenAlex ID: W7119094062