The journey of the union-closed sets conjecture

TL;DR

This paper surveys the current status and progress on the union-closed sets conjecture, highlighting key developments and remaining open problems in the field.

Contribution

It provides a comprehensive overview of the conjecture's history, recent advances, and future research directions.

Findings

Summary of major partial results

Identification of open problems

Overview of recent research efforts

Abstract

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