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On Sets and Graphs

Name: On Sets and Graphs
Brand: Springer International Publishing AG
SKU: 15822976
Price: 63.19 EUR
Availability: InStock
Author: Eugenio G. Omodeo
ISBN: 9783319549804

Eugenio G. Omodeo

Alberto Policriti

Alexandru I. Tomescu

Idioma

Inglés

Libro Tapa dura

Código Libristo: 15822976

Editores Springer International Publishing AG, mayo 2017

This treatise presents an integrated perspective on the interplay of set theory and graph theory, pr... Descripción completa

Código Libristo: 15822976

155 b

63.19 €

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This treatise presents an integrated perspective on the interplay of set theory and graph theory, providing an extensive selection of examples that highlight how methods from one theory can be used to better solve problems originated in the other. Features: explores the interrelationships between sets and graphs and their applications to finite combinatorics; introduces the fundamental graph-theoretical notions from the standpoint of both set theory and dyadic logic, and presents a discussion on set universes; explains how sets can conveniently model graphs, discussing set graphs and set-theoretic representations of claw-free graphs; investigates when it is convenient to represent sets by graphs, covering counting and encoding problems, the random generation of sets, and the analysis of infinite sets; presents excerpts of formal proofs concerning graphs, whose correctness was verified by means of an automated proof-assistant; contains numerous exercises, examples, definitions, problems and insight panels.