Screen LibraryGraphs, groups, and surfaces /
The field of topological graph theory has expanded greatly in the ten years since the first edition of this book appeared. The original nine chapters of this classic work have therefore been revised and updated. Six new chapters have been added, dealing with: voltage graphs, non-orientable imbedding...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
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| Publisher Address: | Amsterdam ; New York : New York, N.Y., U.S.A. : |
| Publication Dates: | 1984. |
| Literature type: | eBook |
| Language: | English |
| Edition: | Completely rev. and enl. ed. |
| Series: |
North-Holland mathematics studies ;
8 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/bookseries/03040208/8 |
| Summary: |
The field of topological graph theory has expanded greatly in the ten years since the first edition of this book appeared. The original nine chapters of this classic work have therefore been revised and updated. Six new chapters have been added, dealing with: voltage graphs, non-orientable imbeddings, block designs associated with graph imbeddings, hypergraph imbeddings, map automorphism groups and change ringing. Thirty-two new problems have been added to this new edition, so that there are now 181 in all; 22 of these have been designated as ``difficult'' and 9 as ``unsolved''. Three of the four unsolved problems from the first edition have been solved in the ten years between editions; they are now marked as ``difficult''. |
| Item Description: | Includes indexes. |
| Carrier Form: | 1 online resource (xiii, 314 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 303-304). |
| ISBN: |
9780444876430 044487643X 9780080871196 0080871194 |
| Index Number: | QA166 |
| CLC: | O157.5 |
| Contents: | Historical 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 (and quotient groups!) -- Voltage graphs -- Nonorientable graph imbeddings -- Block designs -- Hypergraph imbeddings -- Map automorphism groups -- Change ringing. |