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Non-uniform Cross-intersecting Families

math.CO · 2024-11-27 · accept · novelty 6.0

The paper determines the maximum total size of m non-empty pairwise cross-intersecting families with arbitrary allowed set sizes when n is at least the sum of the two largest allowed sizes, and characterizes all extremal families.

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  • Non-uniform Cross-intersecting Families math.CO · 2024-11-27 · accept · none · ref 12

    The paper determines the maximum total size of m non-empty pairwise cross-intersecting families with arbitrary allowed set sizes when n is at least the sum of the two largest allowed sizes, and characterizes all extremal families.