Graphs on Surfaces Dualities, Polynomials, and Knots /

• Main Authors: Ellis-Monaghan, Joanna A. (Author), Moffatt, Iain (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Topology.; Algebraic topology.; Graph theory.; Graph Theory.; Algebraic Topology.

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 .