The Resource Graphs on Surfaces : Dualities, Polynomials, and Knots, by Joanna A. Ellis-Monaghan, Iain Moffatt, (electronic resource)

Graphs on Surfaces : Dualities, Polynomials, and Knots, by Joanna A. Ellis-Monaghan, Iain Moffatt, (electronic resource)

Label
Graphs on Surfaces : Dualities, Polynomials, and Knots
Title
Graphs on Surfaces
Title remainder
Dualities, Polynomials, and Knots
Statement of responsibility
by Joanna A. Ellis-Monaghan, Iain Moffatt
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Graphs on Surfaces: Dualities, Polynomials, and Knots offers an accessible and comprehensive treatment of recent developments on generalized duals of graphs on surfaces, and their applications. The authors illustrate the interdependency between duality, medial graphs and knots; how this interdependency is reflected in algebraic invariants of graphs and knots; and how it can be exploited to solve problems in graph and knot theory. Taking a constructive approach, the authors emphasize how generalized duals and related ideas arise by localizing classical constructions, such as geometric duals and Tait graphs, and then removing artificial restrictions in these constructions to obtain full extensions of them to embedded graphs. The authors demonstrate the benefits of these generalizations to embedded graphs in chapters describing their applications to graph polynomials and knots. Graphs on Surfaces: Dualities, Polynomials, and Knots also provides a self-contained introduction to graphs on surfaces, generalized duals, topological graph polynomials, and knot polynomials that is accessible both to graph theorists and to knot theorists. Directed at those with some familiarity with basic graph theory and knot theory, this book is appropriate for graduate students and researchers in either area. Because the area is advancing so rapidly, the authors give a comprehensive overview of the topic and include a robust bibliography, aiming to provide the reader with the necessary foundations to stay abreast of the field. The reader will come away from the text convinced of advantages of considering these higher genus analogues of constructions of plane and abstract graphs, and with a good understanding of how they arise
Member of
http://library.link/vocab/creatorName
Ellis-Monaghan, Joanna A
Dewey number
  • 511.5
  • 511/.5
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • 0IObsvBFFu4
  • rHXQI95YIJE
Language note
English
LC call number
QA166-166.247
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Moffatt, Iain.
Series statement
  • SpringerBriefs in mathematics,
  • SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
  • Topology
  • Algebraic topology
  • Graph Theory
  • Topology
  • Algebraic Topology
Label
Graphs on Surfaces : Dualities, Polynomials, and Knots, by Joanna A. Ellis-Monaghan, Iain Moffatt, (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
1. Embedded Graphs -- 2. Generalised Dualities -- 3. Twisted duality, cycle family graphs, and embedded graph equivalence -- 4. Interactions with Graph Polynomials -- 5. Applications to Knot Theory .- References -- Index
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (149 p.)
Form of item
online
Isbn
9781461469711
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-6971-1
Specific material designation
remote
System control number
  • (CKB)2670000000388535
  • (EBL)1317657
  • (SSID)ssj0000935722
  • (PQKBManifestationID)11522723
  • (PQKBTitleCode)TC0000935722
  • (PQKBWorkID)10955923
  • (PQKB)11219968
  • (DE-He213)978-1-4614-6971-1
  • (MiAaPQ)EBC1317657
  • (EXLCZ)992670000000388535
Label
Graphs on Surfaces : Dualities, Polynomials, and Knots, by Joanna A. Ellis-Monaghan, Iain Moffatt, (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
1. Embedded Graphs -- 2. Generalised Dualities -- 3. Twisted duality, cycle family graphs, and embedded graph equivalence -- 4. Interactions with Graph Polynomials -- 5. Applications to Knot Theory .- References -- Index
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (149 p.)
Form of item
online
Isbn
9781461469711
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-6971-1
Specific material designation
remote
System control number
  • (CKB)2670000000388535
  • (EBL)1317657
  • (SSID)ssj0000935722
  • (PQKBManifestationID)11522723
  • (PQKBTitleCode)TC0000935722
  • (PQKBWorkID)10955923
  • (PQKB)11219968
  • (DE-He213)978-1-4614-6971-1
  • (MiAaPQ)EBC1317657
  • (EXLCZ)992670000000388535

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