Constructs Boolean polynomial ICC_{m,n}(X) whose vanishing is equivalent to the Union-Closed Conjecture holding for fixed m and n.
The journey of the union-closed sets conjecture
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abstract
We survey the state of the union-closed sets conjecture.
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math.CO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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On Boolean polynomials and the Union-Closed Conjecture
Constructs Boolean polynomial ICC_{m,n}(X) whose vanishing is equivalent to the Union-Closed Conjecture holding for fixed m and n.