Artículos relacionados a On Sets and Graphs: Perspectives on Logic and Combinatorics
Sinopsis
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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Acerca del autor
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.
De la contraportada
This unique treatise presents an integrated perspective on the relationship and 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. This combined viewpoint not only simplifies the manipulation of sets and enriches the potential of graphs, but also permits a more profound understanding of the multi-faceted nature of sets and graphs.
Topics and features:
- Explores the interrelationships between sets and graphs and their applications to finite combinatorics, with a focus on proof methods and proof technology
- Introduces the fundamental graph-theoretical notions from the standpoint of both set theory and dyadic logic, and presents a short discussion on set universes
- Explains how, and under what circumstances, 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 throughout the text
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 postdoctoral researcher in the Department of Computer Science at the University of Helsinki, Finland.
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On Sets and Graphs: Perspectives on Logic and Combinatorics
Librería: Ria Christie Collections, Uxbridge, Reino Unido
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On Sets and Graphs
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Springer International Publishing Sep 2018, 2018
ISBN 10: 3319855360
ISBN 13: 9783319855363
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 296 pp. Englisch. Nº de ref. del artículo: 9783319855363
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On Sets and Graphs
Publicado por
Springer International Publishing, 2018
ISBN 10: 3319855360
ISBN 13: 9783319855363
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Librería: moluna, Greven, Alemania
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents a unified view of sets and graphs and their use for natural representation of finite structuresCasts combinatorial issues arising at the core of different disciplines in clear computational termsIllustrates automatically computer-c. Nº de ref. del artículo: 448759239
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On Sets and Graphs : Perspectives on Logic and Combinatorics
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Springer International Publishing, Springer International Publishing, 2018
ISBN 10: 3319855360
ISBN 13: 9783319855363
Nuevo
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9783319855363
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On Sets and Graphs : Perspectives on Logic and Combinatorics
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On Sets and Graphs : Perspectives on Logic and Combinatorics
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On Sets and Graphs : Perspectives on Logic and Combinatorics
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