The Resource On Sets and Graphs : Perspectives on Logic and Combinatorics, by Eugenio G. Omodeo, Alberto Policriti, Alexandru I. Tomescu, (electronic resource)

On Sets and Graphs : Perspectives on Logic and Combinatorics, by Eugenio G. Omodeo, Alberto Policriti, Alexandru I. Tomescu, (electronic resource)

Label
On Sets and Graphs : Perspectives on Logic and Combinatorics
Title
On Sets and Graphs
Title remainder
Perspectives on Logic and Combinatorics
Statement of responsibility
by Eugenio G. Omodeo, Alberto Policriti, Alexandru I. Tomescu
Creator
Contributor
Author
Author
Subject
Language
eng
Summary
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 This accessible textbook/reference offers an illuminating read for graduate students of computer science and mathematics. The work is also ideal as a self-study resource for other non-specialists pursuing a deeper understanding of the subject matter. 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
http://library.link/vocab/creatorName
Omodeo, Eugenio G
Dewey number
005.1015113
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • XKT0J5C2aAk
  • 2GAJtbLvt18
  • NFlKJO4K5K0
Image bit depth
0
LC call number
  • QA76.9.L63
  • QA76.5913
  • QA76.63
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Policriti, Alberto.
  • Tomescu, Alexandru I.
http://library.link/vocab/subjectName
  • Logic design
  • Computer software
  • Combinatorics
  • Logics and Meanings of Programs
  • Algorithm Analysis and Problem Complexity
  • Graph Theory
  • Combinatorics
Label
On Sets and Graphs : Perspectives on Logic and Combinatorics, by Eugenio G. Omodeo, Alberto Policriti, Alexandru I. Tomescu, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Edition
1st ed. 2017.
Extent
1 online resource (XIX, 275 p. 150 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783319549811
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-54981-1
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)4340000000062221
  • (DE-He213)978-3-319-54981-1
  • (EXLCZ)994340000000062221
Label
On Sets and Graphs : Perspectives on Logic and Combinatorics, by Eugenio G. Omodeo, Alberto Policriti, Alexandru I. Tomescu, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Edition
1st ed. 2017.
Extent
1 online resource (XIX, 275 p. 150 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783319549811
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-54981-1
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)4340000000062221
  • (DE-He213)978-3-319-54981-1
  • (EXLCZ)994340000000062221

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