On the intersection density of the Kneser graph \(K(n, 3)\)

DOI10.1016/j.ejc.2023.103910arXiv2205.05118OpenAlexW4389591199MaRDI QIDQ6201891

A. Sarobidy Razafimahatratra, Karen Meagher

Publication date: 26 March 2024

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

Full work available at URL: https://arxiv.org/abs/2205.05118

zbMATH Keywords

Cayley graphvertex-transitive graph

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Symmetric groups (20B30) Density (toughness, etc.) (05C42)

Cites Work

• An Erdős-Ko-Rado theorem for finite 2-transitive groups
• Setwise intersecting families of permutations
• The Erdős-Ko-Rado theorem for the derangement graph of the projective general linear group acting on the projective space
• 3-setwise intersecting families of the symmetric group
• On intersection density of transitive groups of degree a product of two odd primes
• On the intersection density of primitive groups of degree a product of two odd primes
• On maximum intersecting sets in direct and wreath product of groups
• Intersection density of transitive groups of certain degrees
• On triangles in derangement graphs
• The Erdős-Ko-Rado theorem for 2-pointwise and 2-setwise intersecting permutations
• \(k\)-homogeneous groups
• On the intersection density of the symmetric group acting on uniform subsets of small size
• Erdős–Ko–Rado Theorems: Algebraic Approaches
• Primary cyclotomic units and a proof of Catalans conjecture
• On complete multipartite derangement graphs
• Intersecting families of permutations
• Intersection density of cubic symmetric graphs
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