| 书目名称 | Improved Bonferroni Inequalities via Abstract Tubes |
| 副标题 | Inequalities and Ide |
| 编辑 | Klaus Dohmen |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2003 |
| 关键词 | Bonferroni inequalities; Graph theory; Lattice; abstract tube; graph sieve; inclusion-exclusion; matroid; n |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b13785 |
| isbn_softcover | 978-3-540-20025-3 |
| isbn_ebook | 978-3-540-39399-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2003 |
发表于 2025-3-21 18:47:03
