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Hypergraphs and sharpened sieve inequalities

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Publication:1336651
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DOI10.1016/0012-365X(92)00561-5zbMath0809.05074MaRDI QIDQ1336651

David A. Grable

Publication date: 28 November 1994

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

hypergraphBonferroni inequalitiesmeasure spacehypertreesfinitely generated Boolean algebrassieve inequalities


Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Hypergraphs (05C65) Combinatorial probability (60C05) Combinatorial inequalities (05A20)




Cites Work

  • Quelques remarques sur les probabilités des événements dépendants
  • Hypertrees and Bonferroni inequalities
  • Sharpened Bonferroni inequalities
  • Sharp Bounds on Probabilities Using Linear Programming
  • Bonferroni-Type Inequalities Via Interpolating Polynomials
  • Closed Form Two-Sided Bounds for Probabilities that At Least r and Exactly r Out of n Events Occur
  • Inequalities for the probability of the occurrence of at least m out of n events
  • An upper bound for the probability of a union
  • On the Probability of the Occurrence of at Least $m$ Events Among $n$ Arbitrary Events
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