The journey of the union-closed sets conjecture

2013/09/12 by Henning Bruhn, Oliver Schaudt, Bruhn, Henning +1 · 5 citations
Computer Science · #Advanced Algebra and Logic #Combinatorics (math.CO) #Constraint Satisfaction and Optimization #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Rough Sets and Fuzzy Logic

paper · doi:10.48550/arxiv.1309.3297

openalex publication_date 2013/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We survey the state of the union-closed sets conjecture.

Cited by

• Average-Rare Order Ideals in Functional Preorders
• Supersaturation in union-closed families of sets
• An averaging result for union-closed families of sets
• Proof of Union-Closed Sets Conjecture
• A lemma on a finite union-closed family of finite sets and its applications

Related

• On the Union-Closed Sets Conjecture
• Proof of Union-Closed Sets Conjecture
• On the Union-Closed Set Conjecture
• Notes on the Union Closed Sets Conjecture
• The union-closed set conjecture is true