The Resource Geodesic Convexity in Graphs, by Ignacio M. Pelayo, (electronic resource)

Geodesic Convexity in Graphs, by Ignacio M. Pelayo, (electronic resource)

Label
Geodesic Convexity in Graphs
Title
Geodesic Convexity in Graphs
Statement of responsibility
by Ignacio M. Pelayo
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Geodesic Convexity in Graphs is devoted to the study of the geodesic convexity on finite, simple, connected graphs. The first chapter includes the main definitions and results on graph theory, metric graph theory and graph path convexities. The following chapters focus exclusively on the geodesic convexity, including motivation and background, specific definitions, discussion and examples, results, proofs, exercises and open problems. The main and most st udied parameters involving geodesic convexity in graphs are both the geodetic and the hull number which are defined as the cardinality of minimum geodetic and hull set, respectively. This text reviews various results, obtained during the last one and a half decade, relating these two invariants and some others such as convexity number, Steiner number, geodetic iteration number, Helly number, and Caratheodory number to a wide range a contexts, including products, boundary-type vertex sets, and perfect graph families. This monograph can serve as a supplement to a half-semester graduate course in geodesic convexity but is primarily a guide for postgraduates and researchers interested in topics related to metric graph theory and graph convexity theory.
Member of
http://library.link/vocab/creatorName
Pelayo, Ignacio M
Dewey number
  • 511.5
  • 516.3/62
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
O_IVwEvgOhE
Language note
English
LC call number
QA166-166.247
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • SpringerBriefs in mathematics
  • SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
  • Global differential geometry
  • Differential equations, partial
  • Graph Theory
  • Differential Geometry
  • Partial Differential Equations
Label
Geodesic Convexity in Graphs, by Ignacio M. Pelayo, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • Preface; Contents; Chapter1 Introduction; 1.1 Graph Theory; 1.2 Metric Graph Theory; 1.3 Convexity Spaces; 1.4 Graph Convexities; Chapter2 Invariants; 2.1 Geodetic Closure and Convex Hull; 2.2 Geodetic and Hull Numbers; 2.3 Monophonic and m-Hull Numbers; 2.4 Convexity Number; 2.5 Forcing Geodomination; 2.6 Closed Geodomination; 2.7 Geodetic Domination; 2.8 k-Geodomination; 2.9 Edge Geodomination; 2.10 Classical Parameters; Chapter3 Graph Operations; 3.1 Cartesian Product; 3.2 Strong Product; 3.3 Lexicographic Product; 3.4 Join; 3.5 Corona Product; Chapter4 Boundary Sets
  • Chapter5 Steiner TreesChapter6 Oriented Graphs; Chapter7 Computational Complexity; Glossary; References; Index; Symbol Index
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (117 p.)
Form of item
online
Isbn
9781461486992
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-8699-2
Specific material designation
remote
System control number
  • (CKB)3710000000019062
  • (EBL)1466863
  • (SSID)ssj0001010500
  • (PQKBManifestationID)11584840
  • (PQKBTitleCode)TC0001010500
  • (PQKBWorkID)11018140
  • (PQKB)11217032
  • (DE-He213)978-1-4614-8699-2
  • (MiAaPQ)EBC1466863
  • (EXLCZ)993710000000019062
Label
Geodesic Convexity in Graphs, by Ignacio M. Pelayo, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • Preface; Contents; Chapter1 Introduction; 1.1 Graph Theory; 1.2 Metric Graph Theory; 1.3 Convexity Spaces; 1.4 Graph Convexities; Chapter2 Invariants; 2.1 Geodetic Closure and Convex Hull; 2.2 Geodetic and Hull Numbers; 2.3 Monophonic and m-Hull Numbers; 2.4 Convexity Number; 2.5 Forcing Geodomination; 2.6 Closed Geodomination; 2.7 Geodetic Domination; 2.8 k-Geodomination; 2.9 Edge Geodomination; 2.10 Classical Parameters; Chapter3 Graph Operations; 3.1 Cartesian Product; 3.2 Strong Product; 3.3 Lexicographic Product; 3.4 Join; 3.5 Corona Product; Chapter4 Boundary Sets
  • Chapter5 Steiner TreesChapter6 Oriented Graphs; Chapter7 Computational Complexity; Glossary; References; Index; Symbol Index
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (117 p.)
Form of item
online
Isbn
9781461486992
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-8699-2
Specific material designation
remote
System control number
  • (CKB)3710000000019062
  • (EBL)1466863
  • (SSID)ssj0001010500
  • (PQKBManifestationID)11584840
  • (PQKBTitleCode)TC0001010500
  • (PQKBWorkID)11018140
  • (PQKB)11217032
  • (DE-He213)978-1-4614-8699-2
  • (MiAaPQ)EBC1466863
  • (EXLCZ)993710000000019062

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