Graphs on Surfaces Dualities, Polynomials, and Knots /

• Main Authors: Ellis-Monaghan, Joanna A. (Author), Moffatt, Iain. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Topology.; Algebraic topology.; Graph Theory.; Algebraic Topology.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-6971-1

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 interdepend...

Table of 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 .