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graph theory 1736-1936: norman biggs, keith lloyd [pdf]

Graph Theory by Norman L. Biggs, E. Keith Lloyd, Robin J. Wilson


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About this book :-
Graph Theory Norman L. Biggs, E. Keith Lloyd, Robin J. Wilson.
This book is based on a set of lectures given to a mixed audience of physicists and mathematicians. The desire to be intelligible to both groups is the underlying preoccupation of the author. Physicists nowadays are particularly interested in phase transitions. The typical situation is that a system of interacting particles exhibits an abrupt change of behaviour at a certain temperature, although the local forces between the particles are thought to be smooth functions of temperature. This account discusses the theory behind a simple model of such phenomena. An important tool is the mathematical discipline known as the Theory of Graphs. There are five chapters, each subdivided into sections. The first
is intended as a broad introduction to the subject, and it is written in a more informal manner than the rest. Notes and references for each are given at the end of the chapter.

Book Detail :-
Title: Graph Theory
Edition:
Author(s): Norman L. Biggs, E. Keith Lloyd, Robin J. Wilson
Publisher: Cambridge University Press
Series:
Year: 1999
Pages: 255
Type: PDF
Language: English
ISBN: 0198539169,9780198539162
Country: UK
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About Author :-
The author Norman L. Biggs was a lecturer at University of Southampton, lecturer then reader at Royal Holloway, University of London, and Professor of Mathematics at the London School of Economics. He has been on the editorial board of a number of journals, including the Journal of Algebraic Combinatorics. He has been a member of the Council of the London Mathematical Society.
He has written 12 books and over 100 papers on mathematical topics, many of them in algebraic combinatorics and its applications. He became Emeritus Professor in 2006 and continue to teach History of Mathematics in Finance and Economics for undergraduates. He is also Vice-President of the British Society for the History of Mathematics.

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Book Contents :-
Graph Theory Norman L. Biggs, E. Keith Lloyd, Robin J. Wilson cover the following topics.
1. PATHS
2. CIRCUITS
3. TREES
4. CHFMICAI GRAPHS
5. EULER POLYHEDRAL FORMULA
6. THE FOUR-COLOUR PROBLEM-
7. COLOURING MAPS ON SURFACES
8. IDEAS FROM ALGEBRA AND TOPOLOGY
9. THE FOUR-COLOUR PROBLEM-TO
10. THE FACTORIZATION OF GRAPHS
APPENDIX 1: Graph Theory since
APPENDIX 2: Biographical Notes
APPENDIX 3: Bibliography
INDEX OF NAMES
GENERAL INDEX


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