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Carlos M · 2007 · DOI 10.1007/s00454-007-1343-6

1 Pith paper cite this work. Polarity classification is still indexing.

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Many holes but no large one: maximizing $k$-holes while forbidding $(k+1)$-holes

math.CO · 2026-06-07 · unverdicted · novelty 6.0

For n = k + a with a ≤ k/2 - 1, the maximum number of k-holes in a point set with no (k+1)-hole is exactly 2^a.

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Many holes but no large one: maximizing $k$-holes while forbidding $(k+1)$-holes math.CO · 2026-06-07 · unverdicted · none · ref 14
For n = k + a with a ≤ k/2 - 1, the maximum number of k-holes in a point set with no (k+1)-hole is exactly 2^a.

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