Classification of the maximal cliques of size \(\geq q+4\) in the quadratic forms graph in odd characteristic

DOI10.1016/S0195-6698(13)80026-1zbMath0762.05089MaRDI QIDQ1813226

Joe Hemmeter, Andrew J. Woldar

Publication date: 25 June 1992

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

classificationmaximal cliquesodd characteristicquadratic forms graph

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of finite geometries (05B25) Structural characterization of families of graphs (05C75) Combinatorial structures in finite projective spaces (51E20)

Related Items (7)

Distance-regular graphs of large diameter that are completely regular clique graphs ⋮ Endomorphisms and cores of quadratic forms graphs in odd characteristic ⋮ The complete list of maximal cliques of Quad\((n,q)\), \(q\) odd ⋮ The non-existence of ovoids in the dual polar space DW(5, \(q\)) ⋮ A new family of distance-regular graphs and the \(\{ 0,1,2 \}\)-cliques in dual polar graphs ⋮ The subconstituent algebra of an association scheme. I ⋮ On the maximal cliques of the quadratic forms graph in even characteristic

Cites Work

• The structure of near polygons with quads
• Association schemes of quadratic forms
• The large cliques in the graph of quadratic forms
• Dual polar spaces
• A new family of distance-regular graphs and the \(\{ 0,1,2 \}\)-cliques in dual polar graphs
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