The maximum sum and the maximum product of sizes of cross-intersecting families
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Publication:2509742
DOI10.1016/j.ejc.2013.06.029zbMath1296.05191arXiv1102.0667OpenAlexW1978573479MaRDI QIDQ2509742
Publication date: 29 July 2014
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.0667
Related Items (22)
The maximum product of sizes of cross-intersecting families ⋮ On Disjoint Cross Intersecting Families of Permutations ⋮ Circulant almost cross intersecting families ⋮ Multicolour Sunflowers ⋮ The maximum sum of sizes of cross-intersecting families of subsets of a set ⋮ Analogues of Katona's and Milner's theorems for two families ⋮ Cross-intersecting subfamilies of levels of hereditary families ⋮ A short proof of an Erdős-Ko-Rado theorem for compositions ⋮ Cross-intersecting non-empty uniform subfamilies of hereditary families ⋮ r$r$‐Cross t$t$‐intersecting families via necessary intersection points ⋮ Set Systems with L-Intersections and k-Wise L-Intersecting Families ⋮ The maximum product of weights of cross-intersecting families ⋮ A proof of Frankl's conjecture on cross-union families ⋮ Intersecting families, cross-intersecting families, and a proof of a conjecture of Feghali, Johnson and Thomas ⋮ Improvements of the Frankl-Rödl theorem on the number of edges of a hypergraph with forbidden intersections, and their consequences in the problem of finding the chromatic number of a space with forbidden equilateral triangle ⋮ A sharp bound for the product of weights of cross-intersecting families ⋮ Maximal \(m\)-distance sets containing the representation of the Hamming graph \(H(n, m)\) ⋮ Strongly intersecting integer partitions ⋮ Erdős-Ko-Rado theorems for set partitions with certain block size ⋮ Cross-intersecting sub-families of hereditary families ⋮ Degree versions of theorems on intersecting families via stability ⋮ A cross‐intersection theorem for subsets of a set
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