By Klaus Dohmen

This introduction to the new idea of summary tubes describes the framework for setting up enhanced inclusion-exclusion identities and Bonferroni inequalities, that are provably not less than as sharp as their classical opposite numbers whereas related to fewer phrases. All important definitions from graph thought, lattice idea and topology are supplied. The position of closure and kernel operators is emphasized, and examples are supplied all through to illustrate the applicability of this new conception. functions are given to procedure and community reliability, reliability overlaying difficulties and chromatic graph concept. subject matters additionally coated contain Zeilberger's summary lace enlargement, matroid polynomials and Möbius functions.

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