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ISBN: 0387945571 9780387945576 Year: 1995 Publisher: New York (N.Y.): Springer,
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ISBN: 9780521802307 052180230X Year: 2009 Publisher: Cambridge: Cambridge university press,
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ISBN: 1470420651 Year: 1993 Publisher: Providence, Rhode Island : American Mathematical Society,
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ISBN: 1316087832 113963867X 1139087223 Year: 2009 Publisher: Cambridge : Cambridge University Press,
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The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references.
ISBN: 9780444500755 0444500758 0585474052 9780585474052 0080507581 9780080507583 1281038679 9781281038678 9786611038670 6611038671 Year: 2001 Publisher: Amsterdam ; New York : Elsevier,
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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
ISSN: 00659266 ISBN: 0821804022 Year: 1995 Publisher: Providence (R.I.): American Mathematical Society
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Topology --- Discrete mathematics --- Topological graph theory. --- Graphes topologiques, Théorie des. --- Topological graph theory --- Graph theory
ISBN: 0821825704 Year: 1993 Publisher: Providence (R.I.): American Mathematical Society
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Discrete mathematics --- Topological graph theory --- Knot theory --- Link theory --- Low-dimensional topology --- Piecewise linear topology --- Knots (Topology) --- Graph theory --- Topology --- Topological graph theory. --- Graphes topologiques, Théorie des. --- Knot theory. --- Noeuds, Théorie des. --- Link theory. --- Lien, Théorie du.
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