Format:
Online-Ressource (X, 122 p, online resource)
ISBN:
9783540393993
Series Statement:
Lecture Notes in Mathematics 1826
Content:
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
Additional Edition:
ISBN 9783540200253
Additional Edition:
Erscheint auch als Druck-Ausgabe Dohmen, Klaus Improved Bonferroni inequalities via abstract tubes Berlin : Springer, 2003 ISBN 3540200258
Language:
English
Subjects:
Mathematics
Keywords:
Bonferroni-Ungleichung
;
Inklusions-Exklusions-Prinzip
URL:
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