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arxiv: 1309.3297 · v2 · pith:CYHXWJTSnew · submitted 2013-09-12 · 🧮 math.CO · cs.DM

The journey of the union-closed sets conjecture

classification 🧮 math.CO cs.DM
keywords conjecturesetsunion-closedjourneystatesurvey
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We survey the state of the union-closed sets conjecture.

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  1. On Boolean polynomials and the Union-Closed Conjecture

    math.CO 2026-06 unverdicted novelty 5.0

    Constructs Boolean polynomial ICC_{m,n}(X) whose vanishing is equivalent to the Union-Closed Conjecture holding for fixed m and n.