Improved Bonferroni Inequalities Via Abstract Tubes: Inequalities and Identities of Inclusion-exclusion Type - Lecture Notes in Mathematics - Klaus Dohmen - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783540200253 - October 8, 2003
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Klaus Dohmen
Improved Bonferroni Inequalities Via Abstract Tubes: Inequalities and Identities of Inclusion-exclusion Type - Lecture Notes in Mathematics 2003 edition

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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.

122 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released October 8, 2003
ISBN13 9783540200253
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 122
Dimensions 156 × 234 × 7 mm   ·   195 g
Language English  

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