An algebraic proof of the Erdős-Ko-Rado theorem for intersecting families of perfect matchings
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Publication:5357299
DOI10.26493/1855-3974.976.c47zbMath1370.05102arXiv1506.08770OpenAlexW2962686173MaRDI QIDQ5357299
Karen Meagher, Chris D. Godsil
Publication date: 14 September 2017
Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.08770
Extremal problems in graph theory (05C35) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)
Related Items (15)
Eigenvalues of the matching derangement graph ⋮ Some Erdös-Ko-Rado results for linear and affine groups of degree two ⋮ On the spectrum of the perfect matching derangement graph ⋮ An extension of the Erdős-Ko-Rado theorem to set-wise 2-intersecting families of perfect matchings ⋮ The perfect matching association scheme ⋮ On the flip graphs on perfect matchings of complete graphs and signed reversal graphs ⋮ An extension of the Erdős-Ko-Rado theorem to uniform set partitions ⋮ On the intersection density of the symmetric group acting on uniform subsets of small size ⋮ On triangles in derangement graphs ⋮ The Erdős-Ko-Rado theorem for 2-intersecting families of perfect matchings ⋮ The Erdős-Ko-Rado theorem for 2-pointwise and 2-setwise intersecting permutations ⋮ Stability for 1-intersecting families of perfect matchings ⋮ All 2-transitive groups have the EKR-module property ⋮ 3-setwise intersecting families of the symmetric group ⋮ Alternating sign property of the perfect matching derangement graph
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