Téléchargez le livre : Graphs of Groups on Surfaces

Graphs of Groups on Surfaces

Interactions and Models

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Éditeur :

North Holland


Paru le : 2001-04-27



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Description
The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces. Automorphism groups of both graphs and maps are studied. In addition connections are made to other areas of mathematics, such as hypergraphs, block designs, finite geometries, and finite fields. There are chapters on the emerging subfields of enumerative topological graph theory and random topological graph theory, as well as a chapter on the composition of English church-bell music. The latter is facilitated by imbedding the right graph of the right group on an appropriate surface, with suitable symmetries. Throughout the emphasis is on Cayley maps: imbeddings of Cayley graphs for finite groups as (possibly branched) covering projections of surface imbeddings of loop graphs with one vertex. This is not as restrictive as it might sound; many developments in topological graph theory involve such imbeddings.The approach aims to make all this interconnected material readily accessible to a beginning graduate (or an advanced undergraduate) student, while at the same time providing the research mathematician with a useful reference book in topological graph theory. The focus will be on beautiful connections, both elementary and deep, within mathematics that can best be described by the intuitively pleasing device of imbedding graphs of groups on surfaces.
Pages
378 pages
Collection
n.c
Parution
2001-04-27
Marque
North Holland
EAN papier
9780444500755
EAN PDF
9780080507583
Informations sur l'ebook
Nombre pages copiables
37
Nombre pages imprimables
37
Taille du fichier
33106 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
184,63 €
EAN EPUB SANS DRM
9780080507583
Informations sur l'ebook
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
184,63 €

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