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On Sets and Graphs

von Alberto Policriti, Alexandru I. Tomescu und Eugenio G. Omodeo
Hardcover - 9783319549804
60,98 €
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Softcover - 9783319855363
60,98 €

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Weitere Formate

Softcover - 9783319855363
60,98 €

Beschreibung

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, problemsand insight panels.

Perspectives on Logic and Combinatorics

Perspectives on Logic and Combinatorics

Details

Verlag Springer International Publishing
Ersterscheinung 22. Mai 2017
Maße 23.5 cm x 15.5 cm
Gewicht 612 Gramm
Format Hardcover
ISBN-13 9783319549804
Auflage 1st ed. 2017
Seiten 275