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Improved Bonferroni Inequalities via Abstract Tubes by Klaus Dohmen
Improved Bonferroni Inequalities via Abstract Tubes by Klaus Dohmen
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Improved Bonferroni Inequalities via Abstract Tubes

Inequalities and Identities of Inclusion-Exclusion Type
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Description

This introduction to the recent theory of abstract tubes describes the framework for establishing improved inclusion-exclusion identities and Bonferroni inequalities, which are provably at least as sharp as their classical counterparts while involving fewer terms. All necessary definitions from graph theory, lattice theory and topology are provided. The role of closure and kernel operators is emphasized, and examples are provided throughout to demonstrate the applicability of this new theory. Applications are given to system and network reliability, reliability covering problems and chromatic graph theory. Topics also covered include Zeilberger's abstract lace expansion, matroid polynomials and Möbius functions.
Release date Australia
October 8th, 2003
Author
Audiences
  • General (US: Trade)
  • Professional & Vocational
  • Tertiary Education (US: College)
Illustrations
X, 122 p.
Pages
122
Dimensions
156x234x7
ISBN-13
9783540200253
Product ID
2814562

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