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Introduction to Graph Theory (Fifth Edition) by Robin J. Wilson
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About this book :-
Introduction to Graph Theory (5E)
Robin Wilson.
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. For this new edition the text has been revised throughout, and several sections have been reorganised and renumbered. Some new material has been added – notably on the proof of the four-colour theorem, the bracing of rectangular frameworks and algorithms – and the number of exercises has been increased and more solutions are provided. New material on the proof of the four-colour theorem, the bracing of rectangular frameworks and algorithms. The number of exercises has been increased and more solutions are provided. Revised throughout, and several sections have been reorganised and renumbered.
Book Detail :-
Title: Introduction to Graph Theory
Edition: 5th Edition
Author(s): Robin J. Wilson
Publisher:
Series: 9780273728894
Year: 2010
Pages: 193
Type: PDF
Language: English
ISBN:
Country: UK
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Book Contents :-
Introduction to Graph Theory (5E)
Robin Wilson
cover the following topics.
1. Definition and Example
1.1 Definations
1.2 Examples Variations on a theme
1.3 Three puzzles
2. Path and Cycles
2.1 Connectivity
2.2 Eulerian graphs and digraphs
2.3 Hamiltonian graphs and digraphs
2.4 Application
3. Trees
3.1 Profperties of Trees
3.2 Counting trees
3.3 More Applications
4. Planarity
4.1 Planar Graphs
4.2 Euler's Formula
4.3 Dual Graphs
4.4 Graphs on other Surfaces
5. Colouring Graphs
5.1 Colouring Vertices
5.2 Chromatic Polynomials
5.3 Colourig maps
5.4 The four colur theorm
5.5 Colour edges
6. Matching marriage and Menger's theorem
6.1 Hall's marriage theorem
6.2 Menger's Theorem
6.3 Network folws
7. Matroids
7.1 Introduction to matroids
7.2 Examples of matroids
7.3 Matroids and graphs
Appedix
Algorithms
Table of Numbers
List of symbols
Bibliography
Solution to selected exercises
Index
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