On Sets and Graphs

Perspectives on Logic and Combinatorics

AvEugenio G. Omodeo,Alberto Policriti

Häftad, Engelska, 2018

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2018-09-09
Mått:155 x 235 x 17 mm
Vikt:452 g
Format:Häftad
Språk:Engelska
Antal sidor:275
Förlag:Springer International Publishing AG
ISBN:9783319855363

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Mer om författaren

Dr. Eugenio G. Omodeo is a professor in the Department of Mathematics and Geosciences at the University of Trieste, Italy. His other publications include the Springer title Computational Logic and Set Theory.Dr. Alberto Policriti is a Professor of Computer Science in the Department of Mathematics, Computer Science, and Physics at the University of Udine, Italy. Together with Dr. Eugenio G. Omodeo, he is co-author of the Springer title Set Theory for Computing.Dr. Alexandru I. Tomescu is a postdoctoral researcher in the Department of Computer Science at the University of Helsinki, Finland.

Innehållsförteckning

Introduction.- Part I: Basics.- Membership and Edge Relations.- Sets, Graphs, and Set Universes.- Part II: Graphs as Sets.- The Undirected Structure Underlying Sets.- Graphs as Transitive Sets.- Part III: Sets as Graphs.- Counting and Encoding Sets.- Random Generation of Sets.- Infinite Sets and Finite Combinatorics.- Appendix: Excerpts from a Referee-Checked Proof-Script.