Combinatorics and Graph Theory / Edition 2

Combinatorics and Graph Theory / Edition 2

by John Harris, Jeffry L. Hirst, Michael Mossinghoff
     
 

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ISBN-10: 1441927239

ISBN-13: 9781441927231

Pub. Date: 11/02/2010

Publisher: Springer New York

This book covers a wide variety of topics in combinatorics and graph theory. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline.

The second edition includes many new topics and

Overview

This book covers a wide variety of topics in combinatorics and graph theory. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline.

The second edition includes many new topics and features:

• New sections in graph theory on distance, Eulerian trails, and Hamiltonian paths.

• New material on partitions, multinomial coefficients, and the pigeonhole principle.

• Expanded coverage of Pólya Theory to include de Bruijn’s method for counting arrangements when a second symmetry group acts on the set of allowed colors.

• Topics in combinatorial geometry, including Erdos and Szekeres’ development of Ramsey Theory in a problem about convex polygons determined by sets of points.

• Expanded coverage of stable marriage problems, and new sections on marriage problems for infinite sets, both countable and uncountable.

• Numerous new exercises throughout the book.

About the First Edition:

". . . this is what a textbook should be! The book is comprehensive without being overwhelming, the proofs are elegant, clear and short, and the examples are well picked."

— Ioana Mihaila, MAA Reviews

Product Details

ISBN-13:
9781441927231
Publisher:
Springer New York
Publication date:
11/02/2010
Series:
Undergraduate Texts in Mathematics Series
Edition description:
Softcover reprint of hardcover 2nd ed. 2008
Pages:
381
Product dimensions:
6.10(w) x 9.10(h) x 1.10(d)

Table of Contents

Preface to the second edition.- Preface.- Graph theory.- Combinatorics.- Infinite combinatorics and graphs.- References.- Index.

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