Introduction To Graph Theory - Hardcover

Robin J. Wilson

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9780127578507: Introduction To Graph Theory

Hardcover

ISBN 10: 0127578501 ISBN 13: 9780127578507

Publisher: Academic Press, 1972

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In recent years graph theory has emerged as a subject in its own right, as well as being an important mathematical tool in such diverse subjects as operational research, chemistry, sociology and genetics. Robin Wilson's book has been widely used as a text for undergraduate courses in mathematics, computer science and economics, and as a readable introduction to the subject for non-mathematicians. The opening chapters provide a basic foundation course, containing definitions and examples, connectedness, Eulerian and Hamiltonian paths and cycles, and trees, with a range of applications. This is followed by two chapters on planar graphs and colouring, with special reference to the four-colour theorem. The next chapter deals with transversal theory and connectivity, with applications to network flows. A final chapter on matroid theory ties together material from earlier chapters, and an appendix discusses algorithms and their efficiency.

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From the Back Cover:

Graph Theory has recently emerged as a subject in its own right, as well as being an important mathematical tool in such diverse subjects as operational research, chemistry, sociology and genetics. Robin Wilson's book has been widely used as a text for undergraduate courses in mathematics, computer science and economics, and as a readable introduction to the subject for non-mathematicians.

The opening chapters provide a basic foundation course, containing such topics as trees, algorithms, Eulerian and Hamiltonian graphs, planar graphs and colouring, with special reference to the four-colour theorem. Following these, there are two chapters on directed graphs and transversal theory, relating these areas to such subjects as Markov chains and network flows. Finally, there is a chapter on matroid theory, which is used to consolidate some of the material from earlier chapters.

For this new edition, the text has been completely revised, and there is a full range of exercises of varying difficulty. There is new material on algorithms, tree-searches, and graph-theoretical puzzles. Full solutions are provided for many of the exercises.

Robin Wilson is Dean and Director of Studies in the Faculty of Mathematics and Computing at the Open University.

About the Author:

Robin Wilson is Emeritus Professor of Pure Mathematics at the Open University, and Emeritus Professor of Geometry at Gresham College, London. He is also a former Fellow in Mathematics at Keble College, Oxford University, and now teaches at Pembroke College. He has written and edited almost 40 books on graph theory, combinatorics, the history of mathematics, and music, and is very involved with the communication and popularisation of mathematics.

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