Item description for Improved Bonferroni Inequalities via Abstract Tubes: Inequalities and Identities of Inclusion-Exclusion Type (Lecture Notes in Mathematics) by Klaus Dohmen...
Thisintroduction to the recent theory of abstract tubes describes theframework 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 isemphasized, 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 Mbius functions.
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Est. Packaging Dimensions: Length: 9.2" Width: 6.1" Height: 0.3" Weight: 0.4 lbs.
Release Date Dec 5, 2003
ISBN 3540200258 ISBN13 9783540200253
Availability 56 units. Availability accurate as of Oct 25, 2016 09:57.
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