Lecture Notes in Mathematics

Improved Bonferroni Inequalities via Abstract Tubes

Inequalities and Identities of Inclusion-Exclusion Type

Authors: Dohmen, Klaus

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About this book

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.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $34.99
price for USA in USD
  • ISBN 978-3-540-39399-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA in USD
  • ISBN 978-3-540-20025-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Improved Bonferroni Inequalities via Abstract Tubes
Book Subtitle
Inequalities and Identities of Inclusion-Exclusion Type
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1826
Copyright
2003
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-39399-3
DOI
10.1007/b13785
Softcover ISBN
978-3-540-20025-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 122
Topics