Improved Bonferroni Inequalities vi - E-book

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Improved Bonferroni Inequalities Via Abstract Tubes - ENG

Inequalities And Identities Of Inclusion-exclusion Type

Klaus Dohmen

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Sinopsis

ISBN:	9783540393993
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Álgebra abstracta
Año de publicación:	2003-12-05

ThisÂ introduction to the recent theory of abstract tubes describes theÂ 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 isÂ 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 Zeilbergers abstract lace expansion, matroid polynomials and MÃ¶bius functions.

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