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Fabius Wiesner's user avatar
Fabius Wiesner's user avatar
Fabius Wiesner's user avatar
Fabius Wiesner
  • Member for 5 years, 9 months
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revised
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Number of disjoint set triplets in a union-closed family
Is $239$ just to pick a big number? In other words, might it work with a smaller order for $K$?
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Number of disjoint set triplets in a union-closed family
At most. It is the dual of the linked question.
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Conjecture about commutative semigroups
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Conjecture about commutative semigroups
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Conjecture about commutative semigroups
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Conjecture about commutative semigroups
For $n=3$ there is the counterexample $\mathbb{Z}/3\mathbb{Z}$.
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Conjecture about commutative semigroups
@BenjaminSteinberg now the question has been heavily edited and should be crystal clear.
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Conjecture about commutative semigroups
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A slight strengthening of the union-closed sets conjecture
As showed in a comment, the two conjectures were equivalent, therefore I have simplified into a single conjecture.
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"Center" of a set of binary strings
This is among "Consensus String Problems", although here we don't want to get a specific $s$ from a given input set of strings, but only to know whether it always exists.
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