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The Resource Graphs on Surfaces : Dualities, Polynomials, and Knots, by Joanna A. EllisMonaghan, Iain Moffatt, (electronic resource)
Graphs on Surfaces : Dualities, Polynomials, and Knots, by Joanna A. EllisMonaghan, Iain Moffatt, (electronic resource)
Resource Information
The item Graphs on Surfaces : Dualities, Polynomials, and Knots, by Joanna A. EllisMonaghan, Iain Moffatt, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Graphs on Surfaces : Dualities, Polynomials, and Knots, by Joanna A. EllisMonaghan, Iain Moffatt, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 selfcontained 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
 Language
 eng
 Extent
 XI, 139 p. 82 illus., 41 illus. in color.
 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
 Isbn
 9781461469711
 Label
 Graphs on Surfaces : Dualities, Polynomials, and Knots
 Title
 Graphs on Surfaces
 Title remainder
 Dualities, Polynomials, and Knots
 Statement of responsibility
 by Joanna A. EllisMonaghan, Iain Moffatt
 Language
 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 selfcontained 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
 http://library.link/vocab/creatorName
 EllisMonaghan, Joanna A
 Image bit depth
 0
 LC call number
 QA166166.247
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Moffatt, Iain.
 SpringerLink
 Series statement
 SpringerBriefs in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Topology
 Algebraic topology
 Mathematics
 Graph Theory
 Topology
 Algebraic Topology
 Label
 Graphs on Surfaces : Dualities, Polynomials, and Knots, by Joanna A. EllisMonaghan, Iain Moffatt, (electronic resource)
 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
 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
 Extent
 XI, 139 p. 82 illus., 41 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781461469711
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461469711
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781461469711
 Label
 Graphs on Surfaces : Dualities, Polynomials, and Knots, by Joanna A. EllisMonaghan, Iain Moffatt, (electronic resource)
 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
 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
 Extent
 XI, 139 p. 82 illus., 41 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781461469711
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461469711
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781461469711
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/GraphsonSurfacesDualitiesPolynomialsand/6mxaVRP1hrk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/GraphsonSurfacesDualitiesPolynomialsand/6mxaVRP1hrk/">Graphs on Surfaces : Dualities, Polynomials, and Knots, by Joanna A. EllisMonaghan, Iain Moffatt, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>