A proof of Frankl's conjecture on cross-union families

DOI10.5070/c63261987zbMath1527.05165arXiv2202.10365WikidataQ122887930 ScholiaQ122887930MaRDI QIDQ6179324

No author found.

Publication date: 16 December 2023

Published in: Combinatorial Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.10365

zbMATH Keywords

extremal set theorycross-intersecting familiescross-union familiesgeneralizations of Erdős-Ko-Rado

Mathematics Subject Classification ID

Extremal set theory (05D05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Improved bounds for Erdős' matching conjecture
• An Erdős-Ko-Rado theorem for cross \(t\)-intersecting families
• Cross-intersecting families and primitivity of symmetric systems
• The exact bound in the Erdős-Ko-Rado theorem for cross-intersecting families
• A generalization of the Katona theorem for cross t-intersecting families
• On Sperner families satisfying an additional condition
• Proof of the Erdős matching conjecture in a new range
• Nontrivial independent sets of bipartite graphs and cross-intersecting families
• Beyond the Erdős matching conjecture
• Old and new applications of Katona's circle
• On the arithmetic mean of the size of cross-union families
• The maximum sum of sizes of cross-intersecting families of subsets of a set
• The Erdős matching conjecture and concentration inequalities
• The maximum product of sizes of cross-intersecting families
• On cross-intersecting families of sets
• The maximum sum and the maximum product of sizes of cross-intersecting families
• The Size of a Hypergraph and its Matching Number
• The maximum product of weights of cross-intersecting families
• On r-Cross Intersecting Families of Sets
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• SETS OF INDEPENDENT EDGES OF A HYPERGRAPH
• An Intersection Theorem for a Collection of Families of Subsets of a Finite Set
• A cross‐intersection theorem for subsets of a set
• SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Rainbow version of the Erdős Matching Conjecture via concentration
• A new generalization of the Erdős-Ko-Rado theorem

This page was built for publication: A proof of Frankl's conjecture on cross-union families