Combinatorics and Graph Theory

Language: English

Published by Springer-Verlag New York Inc., US, 2010

1441927239 / 9781441927231

Series: Book 33 of 170 - Undergraduate Texts in Mathematics

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There are certain rules that one must abide by in order to create a successful sequel. - Randy Meeks, from the trailer to Scream 2 While we may not follow the precise rules that Mr. Meeks had in mind for s- cessful sequels, we have made a number of changes to the text in this second edition. In the new edition, we continue to introduce new topics with concrete - amples, we provide complete proofs of almost every result, and we preserve the book'sfriendlystyle andlivelypresentation,interspersingthetextwith occasional jokes and quotations. The rst two chapters, on graph theory and combinatorics, remain largely independent, and may be covered in either order. Chapter 3, on in nite combinatorics and graphs, may also be studied independently, although many readers will want to investigate trees, matchings, and Ramsey theory for nite sets before exploring these topics for in nite sets in the third chapter. Like the rst edition, this text is aimed at upper-division undergraduate students in mathematics, though others will nd much of interest as well. It assumes only familiarity with basic proof techniques, and some experience with matrices and in nite series. The second edition offersmany additionaltopics for use in the classroom or for independentstudy. Chapter 1 includesa new sectioncoveringdistance andrelated notions in graphs, following an expanded introductory section. This new section also introduces the adjacency matrix of a graph, and describes its connection to important features of the graph.

Seller Inventory # LU-9781441927231

Title
Combinatorics and Graph Theory
Author
John Harris, Jeffry L. Hirst, Michael Mossinghoff
Publisher
Springer-Verlag New York Inc., US
Publication year
2010
Condition
New
Binding
Paperback
Language
English
ISBN 10
1441927239
ISBN 13
9781441927231
Edition
Second Edition 2008.
Series
Book 33 of 170: Undergraduate Texts in Mathematics

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