On cocliques in commutative Schurian association schemes of the symmetric group

zbMATH Open1548.05339MaRDI QIDQ6586842

A. Sarobidy Razafimahatratra, Roghayeh Maleki

Publication date: 13 August 2024

Published in: The Australasian Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

symmetric groupsErdős-Ko-Rado theoremmultiplicity-freeSchurian association schemes

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Extremal set theory (05D05) Symmetric groups (20B30)

Cites Work

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• Multiplicity-free permutation representations of the symmetric group.
• The exact bound in the Erdős-Ko-Rado theorem
• Commutative association schemes
• On the maximum number of permutations with given maximal or minimal distance
• Coherent configurations. I
• 3-setwise intersecting families of the symmetric group
• Erdős-Ko-Rado for perfect matchings
• A simple proof of the Erdős-Chao Ko-Rado theorem
• Hoffman's ratio bound
• On the intersection density of the symmetric group acting on uniform subsets of small size
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Erdős–Ko–Rado Theorems: Algebraic Approaches
• An algebraic proof of the Erdős-Ko-Rado theorem for intersecting families of perfect matchings
• Classification and Analysis of Partially Balanced Incomplete Block Designs with Two Associate Classes

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