An averaging result for union-closed families of sets

2025/09/16 by Christopher Bouchard, Bouchard, Christopher
Computer Science · #Combinatorics (math.CO) #FOS: Mathematics #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2509.12537

openalex publication_date 2025/09/16 · openalex created_date 2025/10/18 · openalex updated_date 2026/07/28

Abstract

Let A be a union-closed family of sets with base set b(A)=\bigcup_{A ∈ A}A denoted by [n]=\1, ⋯, n\, and for any real x>0, let A_

Citations

• Chain Conditions and Optimal Elements in Generalized Union-Closed Families of Sets
• Progress on the union-closed conjecture and offsprings in winter 2022-2023
• An improved lower bound for the union-closed set conjecture
• A constant lower bound for the union-closed sets conjecture
• Union-closed Sets Conjecture Holds for Height No More Than 3 and Height No Less Than N-1
• The journey of the union-closed sets conjecture
• The graph formulation of the union-closed sets conjecture

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