Extremal Peisert-type graphs without the strict-EKR property

DOI10.1016/j.jcta.2024.105887zbMATH Open1540.05165MaRDI QIDQ6543049

Chi Hoi Yip, Sergey Viktorovich Goryainov

Publication date: 24 May 2024

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

Erdős-Ko-Rado theoremHilton-Milner theoremmaximum cliqueaffine polar graphPeisert-type graph

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Finite affine and projective planes (geometric aspects) (51E15) Extremal set theory (05D05) Graph theory (05C99) Combinatorial structures in finite projective spaces (51E20)

Cites Work

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• To the theory of \(q\)-ary Steiner and other-type trades
• Some implications on amorphic association schemes
• On the number of slopes of the graph of a function defined on a finite field
• Cyclotomy and strongly regular graphs
• Maximal cliques in the Paley graph of square order
• The Magma algebra system. I: The user language
• The number of directions determined by a function over a finite field.
• On eigenfunctions and maximal cliques of Paley graphs of square order
• A combinatorial characterisation of embedded polar spaces
• On subsets of GF\((q^2)\) with \(d\)th power differences
• The EKR-module property of pseudo-Paley graphs of square order
• On a correspondence between maximal cliques in Paley graphs of square order
• On maximal cliques of Cayley graphs over fields
• Van Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields
• The smallest strictly Neumaier graph and its generalisations
• On eigenfunctions and maximal cliques of generalised Paley graphs of square order
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Erdős–Ko–Rado Theorems: Algebraic Approaches
• Strongly Regular Graphs
• SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Baer Subplanes in Finite Projective and Affine Planes
• Minimum supports of eigenfunctions of graphs: a survey
• Maximality of subfields as cliques in Cayley graphs over finite fields
• Erdős–Ko–Rado theorem in Peisert-type graphs

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