Graph Theory

A Problem Oriented Approach

Daniel A. Marcus

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English

Mathematical Association of America
13 August 2015

Discrete mathematics; Combinatorics & graph theory

Combining the features of a textbook with those of a problem workbook, this text for mathematics, computer science and engineering students presents a natural, friendly way to learn some of the essential ideas of graph theory. The material is explained using 360 strategically placed problems with connecting text, which is then supplemented by 280 additional homework problems. This problem-oriented format encourages active involvement by the reader while always giving clear direction. This approach is especially valuable with the presentation of proofs, which become more frequent and elaborate as the book progresses. Arguments are arranged in digestible chunks and always appear together with concrete examples to help remind the reader of the bigger picture. Topics include spanning tree algorithms, Euler paths, Hamilton paths and cycles, independence and covering, connections and obstructions, and vertex and edge colourings.

By: Daniel A. Marcus
Imprint: Mathematical Association of America
Country of Publication: United States
Edition: 2nd Revised edition
Dimensions: Height: 253mm, Width: 179mm, Spine: 13mm
Weight: 410g
ISBN: 9780883857724
ISBN 10: 0883857723
Pages: 218
Publication Date: 13 August 2015
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

Daniel A. Marcus received his PhD from Harvard University. He was a J. Willard Gibbs Instructor at Yale University from 1972 to 1974 and Professor of Mathematics at California State Polytechnic University, Pomona, from 1979 to 2004.

Reviews for Graph Theory: A Problem Oriented Approach

This work could be the basis for a very nice one-semester transition course in which students evolve from users of theorems to creators of proofs. With their intuitive appeal and pictorial representations, graphs may be a better basis than analysis and limits for such a transtion. - Choice