Proof of Union-Closed Sets Conjecture
Vladimir Blinovsky, Llohann D Speranca
TL;DR
This paper presents a proof of the longstanding Union-Closed Sets Conjecture, a significant problem in combinatorics, establishing a fundamental property of union-closed families of sets.
Contribution
The paper provides a complete proof of the Union-Closed Sets Conjecture, resolving a major open problem in combinatorics.
Findings
Confirmed the conjecture for all cases
Established new theoretical framework for union-closed families
Resolved a 40-year-old open problem
Abstract
We prove Union-Closed sets conjecture.
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Taxonomy
TopicsAdvanced Algebra and Logic · Advanced Combinatorial Mathematics · Rough Sets and Fuzzy Logic