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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
On Sets and Graphs: Perspectives on Logic and Combinatorics

On Sets and Graphs: Perspectives on Logic and Combinatorics

Tomescu, Alexandru I.
Omodeo, Eugenio G.
Policriti, Alberto

Paperback

General MathematicsProgramming

ISBN10: 3319855360
ISBN13: 9783319855363
Publisher: Springer Nature
Published: Sep 9 2018
Pages: 275
Weight: 0.92
Height: 0.62 Width: 6.14 Depth: 9.21
Language: English
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.

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