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Springer Graphs on Surfaces and Their Applications: 141 (Encyclopaedia of Mathematical Sciences, 141)

Name: Graphs on Surfaces and Their Applications: 141 (Encyclopaedia of Mathematical Sciences, 141)
Brand: Springer

3 black & white illustrations, biography

Algorithms

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Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a focus of a vast field of research. The book provides an accessible introduction to this new domain, including such topics as coverings of Riemann surfaces, the Galois group action on embedded graphs (Grothendieck's theory of "dessins d'enfants"), the matrix integral method, moduli spaces of curves, the topology of meromorphic functions, and combinatorial aspects of Vassiliev's knot invariants and, in an appendix by Don Zagier, the use of finite group representation theory. The presentation is concrete throughout, with numerous figures, examples (including computer calculations) and exercises, and should appeal to both graduate students and researchers.

Product Specifications

Brand: Springer
Model: 3 black & white illustrations, biography
Format: hardcover
ASIN: 3540002030
Category: Books > Subjects > Computing & Internet > Programming > Algorithms
Domain: Amazon UK
Publication Date: 01 December 2003
Listed Since: 13 December 2006

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Springer Graphs on Surfaces and Their Applications: 141 (Encyclopaedia of Mathematical Sciences, 141)

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