000			04848cam a2200661Ia 4500
001			ocn162577994
003			OCoLC
005			20141103172226.0
006			m o d
007			cr cn|||||||||
008			070806s2001 ne a ob 001 0 eng d
040			_aOPELS _beng _epn _cOPELS _dOPELS _dOCLCQ _dN$T _dYDXCP _dMERUC _dE7B _dIDEBK _dTULIB _dOCLCO _dOCLCQ _dOPELS _dOCLCF _dDEBBG _dOCLCQ
019			_a53254363 _a441797622 _a648325118 _a779919761
020			_a9780444500755
020			_a0444500758
020			_a0585474052 (electronic bk.)
020			_a9780585474052 (electronic bk.)
020			_a0080507581 (electronic bk.)
020			_a9780080507583 (electronic bk.)
029	1		_aAU@ _b000048129989
029	1		_aDEBBG _bBV036962310
029	1		_aNZ1 _b12435092
035			_a(OCoLC)162577994 _z(OCoLC)53254363 _z(OCoLC)441797622 _z(OCoLC)648325118 _z(OCoLC)779919761
037			_a121003:128438 _bElsevier Science & Technology _nhttp://www.sciencedirect.com
050		4	_aQA166.195 _b.W48 2001eb
072		7	_aQA _2lcco
072		7	_aMAT _x013000 _2bisacsh
082	0	4	_a511/.5 _222
049			_aTEFA
100	1		_aWhite, Arthur T.
245	1	0	_aGraphs of groups on surfaces _h[electronic resource] : _binteractions and models / _cArthur T. White.
250			_a1st ed.
260			_aAmsterdam ; _aNew York : _bElsevier, _c2001.
300			_a1 online resource (xiv, 363 pages) : _billustrations.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aNorth-Holland mathematics studies, _x0304-0208 ; _v188
520			_aThe 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.
504			_aIncludes bibliographical references (pages 351-352) and indexes.
505	0		_aHistorical Setting -- A Brief Introduction to Graph Theory -- The Automorphism Group of a Graph -- The Cayley Color Graph of a Group Presentation -- An Introduction to Surface Topology -- Imbedding Problems in Graph Theory -- The Genus of a Group -- Map-Coloring Problems --Quotient Graphs and Quotient Manifolds: Current Graphs and the Complete Graph Theorem -- Voltage Graphs -- Nonorientable Graph Imbeddings -- Block Designs -- Hypergraph Imbeddings -- Finite Fields on Surfaces -- Finite Geometries on Surfaces -- Map Automorphisms Groups -- Enumerating Graph Imbeddings -- Random Topological Graph Theory -- Change Ringing.
588			_aDescription based on print version record.
650		0	_aTopological graph theory.
650		6	_aGraphes topologiques, Th�eorie des.
650		7	_aMATHEMATICS _xGraphic Methods. _2bisacsh
650		7	_aTopological graph theory. _2fast _0(OCoLC)fst01152683
655		4	_aElectronic books.
776	0	8	_iPrint version: _aWhite, Arthur T. _tGraphs of groups on surfaces. _b1st ed. _dAmsterdam ; New York : Elsevier, 2001 _z0444500758 _z9780444500755 _w(DLC) 2001030789 _w(OCoLC)46617805
830		0	_aNorth-Holland mathematics studies ; _v188. _x0304-0208
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780444500755
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/publication?issn=03040208&volume=188
938			_aebrary _bEBRY _nebr10190256
938			_aEBSCOhost _bEBSC _n91156
938			_aIngram Digital eBook Collection _bIDEB _n103867
938			_aYBP Library Services _bYANK _n2335360
942			_cEB
994			_aC0 _bTEF
999			_c21861 _d21861