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Aspects of Combinatorics : A Wide-ranging Introduction - Victor Bryant

Aspects of Combinatorics

A Wide-ranging Introduction

Paperback

Published: 15th March 1993
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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.

"...makes excellent reading for undergraduates who have already taken an introductory discrete mathematics course which covered counting methods, number theory, graph theory, and proof writing at an elementary level...I highly recommmend Aspects of Combinatorics as a great source of problems and examples that could supplement many upper division mathematics classes." Arthur Benjamin, SIAM Newsletter

Introductionp. vii
The binomial coefficientsp. 1
How many trees?p. 13
The marriage theoremp. 25
Three basic principlesp. 36
Latin squaresp. 50
The first theorem of graph theoryp. 71
Edge-colouringsp. 81
Harems and tournamentsp. 91
Minimax theoremsp. 98
Recurrencep. 109
Vertex-colouringsp. 127
Rook polynomialsp. 138
Planar graphsp. 151
Map-colouringsp. 166
Designs and codesp. 179
Ramsey theoryp. 201
Hints for exercisesp. 224
Answers to exercisesp. 249
Bibliographyp. 262
Indexp. 263
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521429979
ISBN-10: 0521429978
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 276
Published: 15th March 1993
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 24.77 x 17.78  x 1.91
Weight (kg): 0.52