募捐 9月15日2024 – 10月1日2024 关于筹款

Graphs of Groups on Surfaces: Interactions and Models

Graphs of Groups on Surfaces: Interactions and Models

Arthur T. White (Eds.)
你有多喜欢这本书?
下载文件的质量如何?
下载该书,以评价其质量
下载文件的质量如何?
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.
种类:
年:
2001
出版:
1
出版社:
North Holland
语言:
english
页:
1
ISBN 10:
0444500758
ISBN 13:
9780444500755
系列:
North-Holland Mathematics Studies 188
文件:
PDF, 19.51 MB
IPFS:
CID , CID Blake2b
english, 2001
因版权方投诉,本书无法下载

Beware of he who would deny you access to information, for in his heart he dreams himself your master

Pravin Lal

关键词