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Improved Bonferroni Inequalities via Abstract Tubes: Inequalities and Identities of Inclusion-Exclusion Type (Lecture Notes in Mathematics) [Paperback]

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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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Item Specifications...


Pages   113
Est. Packaging Dimensions:   Length: 9.2" Width: 6.1" Height: 0.3"
Weight:   0.4 lbs.
Binding  Softcover
Release Date   Dec 5, 2003
Publisher   Springer
ISBN  3540200258  
ISBN13  9783540200253  


Availability  56 units.
Availability accurate as of May 29, 2017 01:11.
Usually ships within one to two business days from La Vergne, TN.
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9Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > Elementary
10Books > Subjects > Science > Mathematics > Pure Mathematics > Discrete Mathematics



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