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sciloop · problem 17 of 25
COMBINATORICSFRONTIEROPEN

Extremal set families under intersection constraints

Let be a family of subsets of such that for any , we have . Determine the maximum cardinality of and characterize all extremal families.

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Suppose F2[n]\mathcal{F}\subseteq 2^{[n]} with AB2|A\cap B|\ge 2 for all A,BFA,B\in\mathcal{F}. A candidate extremal construction is all sets containing a fixed 2-set {1,2}\{1,2\}.
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BATCH PROGRESS14 / 25

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sciloop · data pipeline
ACTIVE STREAM
Graduate-Level Physics — Eval
Started Feb 20 · Updated continuously
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