For k-subset families that cross-intersect but each lacks a common element, their size product is bounded by the square of the Hilton-Milner number when k is at least 8.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.CO 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Any intersecting k-graph with covering number at least three satisfies the stated binomial-coefficient upper bound for all n greater than or equal to 2k.
citing papers explorer
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A product version of the Hilton-Milner Theorem II
For k-subset families that cross-intersect but each lacks a common element, their size product is bounded by the square of the Hilton-Milner number when k is at least 8.
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Intersecting families with covering number three II
Any intersecting k-graph with covering number at least three satisfies the stated binomial-coefficient upper bound for all n greater than or equal to 2k.