Aspects of Combinatorics: A Wide-ranging Introduction

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Cambridge University Press, Jan 14, 1993 - Mathematics - 266 pages
Building from basics and demonstrating the relationships among the various branches of combinatorics, Victor Bryant presents the results in a straightforward way. Numerous examples and exercises including hints and solutions are included throughout and serve to lead the reader to some of the deeper results of the subject, many of which are usually excluded from introductory texts.
 

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Contents

The binomial coefficients
1
How many trees?
13
The marriage theorem
25
Three basic principles
36
Latin squares
50
The first theorem of graph theory
71
Edgecolourings
81
Harems and tournaments
91
Rook polynomials
138
Planar graphs
151
Mapcolourings
166
Designs and codes
179
Ramsey theory
201
Hints for exercises
224
Answers to exercises
249
Bibliography
262

Minimax theorems
98
Recurrence
109
Vertexcolourings
127

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