Overview
A lively invitation to the flavor, elegance, and power of graph theory This mathematically rigorous introduction is tempered and enlivened by numerous illustrations, revealing examples, seductive applications, and historical references. An award-winning teacher, Russ Merris has crafted a book designed to attract and engage through its spirited exposition, a rich assortment of well-chosen exercises, and a selection of topics that emphasizes the kinds of things that can be manipulated, counted, and pictured. Intended neither to be a comprehensive overview nor an encyclopedic reference, this focused treatment goes deeply enough into a sufficiently wide variety of topics to illustrate the flavor, elegance, and power of graph theory. Another unique feature of the book is its user-friendly modular format. Following a basic foundation in Chapters 1-3, the remainder of the book is organized into four strands that can be explored independently of each other. These strands center, respectively, around matching theory; planar graphs and hamiltonian cycles; topics involving chordal graphs and oriented graphs that naturally emerge from recent developments in the theory of graphic sequences; and an edge coloring strand that embraces both Ramsey theory and a self-contained introduction to Pólya's enumeration of nonisomorphic graphs. In the edge coloring strand, the reader is presumed to be familiar with the disjoint cycle factorization of a permutation. Otherwise, all prerequisites for the book can be found in a standard sophomore course in linear algebra. The independence of strands also makes Graph Theory an excellent resource for mathematicians who require access to specific topics without wanting to read an entire book on the subject.
Full Product Details
Author: Russell Merris (California State University, Hayward)
Publisher: John Wiley & Sons Inc
Imprint: Wiley-Interscience
Dimensions:
Width: 16.30cm
, Height: 2.20cm
, Length: 24.10cm
Weight: 0.567kg
ISBN: 9780471389255
ISBN 10: 0471389250
Pages: 256
Publication Date: 21 November 2000
Audience:
College/higher education
,
Professional and scholarly
,
Postgraduate, Research & Scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Out of stock
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.
Reviews
Merris writes in a lively tone that conveys some of the freshness of graph theory. (Choice, May 2001, Vol.38, No.09) ...a mathematically rigorous introduction and designed as a versatile instruction tool... (Quarterly of Applied Mathematics, Vol. LIX, No. 2, June 2001) The author's intent to write a lean and lively invitation to graph theory designed to attract and engage students, is well met... (Zentralblatt MATH, Vol. 963, 2001/13) Introductory text...emphasizes topics that students can...get their hands on...nicely written; well--motivated... (American Mathematical Monthly, January 2002)
Merris writes in a lively tone that conveys some of the freshness of graph theory. (Choice, May 2001, Vol.38, No.09) ...a mathematically rigorous introduction and designed as a versatile instruction tool... (Quarterly of Applied Mathematics, Vol. LIX, No. 2, June 2001) The authora s intent to write a lean and lively invitation to graph theory designed to attract and engage students, is well met... (Zentralblatt MATH, Vol. 963, 2001/13)
Author Information
RUSSELL MERRIS, PhD, is Professor of Mathematics and Computer Science at California State University, Hayward.
