On the maximal cliques of the quadratic forms graph in even characteristic
type: Item
instance of: scholarly article
title: On the maximal cliques of the quadratic forms graph in even characteristic
zbMATH Open document ID: 0717.05040
DOI: 10.1016/S0195-6698(13)80065-0
author: Joe Hemmeter
author: Andrew J. Woldar
published in: European Journal of Combinatorics
publication date: 1990-01-01T00:00:00Z
review text: Let V denote an n-dimensional vector space over the field of q elements. Associated with V is graph Quad (n,q), the vertices of which are the quadratic forms on V, with two forms adjacent if the rank of their difference is 1 or 2. The main result is that if m is a maximal clique of Quad (n,q) with q even, \(q>3\) such that \(| M| \geq \max \{q+4,9\}\), then M is either grand, cubic, quadratic or linear and moreover, grand, cubic, quadratic and linear cliques are maximal.
reviewed by: Hao Li
Mathematics Subject Classification ID: 05C35
zbMATH DE Number: 4181370
zbMATH Keywords: vector space
zbMATH Keywords: quadratic forms
zbMATH Keywords: maximal clique
MaRDI profile type: Publication
cites work: Association schemes of quadratic forms
cites work: The large cliques in the graph of quadratic forms
cites work: Classification of the maximal cliques of size \(\geq q+4\) in the quadratic forms graph in odd characteristic
full work available at URL: s0195-6698(13)80065-0
OpenAlex ID: W2048440709
description: scientific article; zbMATH DE number 4181370