The union-closed set conjecture is true

2024/05/06 by Demontis, Roberto · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2405.03731

Abstract

We prove that the conjecture made by Peter Frankl in the late 1970s is true. In other words for every finite union-closed family which contains a non?empty set, there is an element that belongs to at least half of its m

Cited by

• Universal perspectives on irredundance for X-set parameters

Related

• Two Stronger Versions of the Union-closed Sets Conjecture
• Notes on the Union Closed Sets Conjecture
• New Conjectures for Union-Closed Families
• Note on the union-closed sets conjecture
• On the Union-Closed Sets Conjecture