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Graph Theory: A Problem Oriented Approach

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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. Introduces graph theory using 360 explanatory exercises, with a further 280 homework problems to help students master the concepts.Topics include Hall's Theorem, the Konig?Egervary Theorem, matrices and Latin squares.Ideal for undergraduates in mathematics, computer science and engineering.

Συγγραφέας: Marcus Daniel
Εκδότης: MATHEMATICAL ASSOCIATION OF AMERICA
Σελίδες: 205
ISBN: 9780883857724
Εξώφυλλο: Μαλακό Εξώφυλλο
Αριθμός Έκδοσης: 2
Έτος έκδοσης: 2015

Daniel A. Marcus received his PhD from Harvard University in 1972. 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. He published research papers in the areas of graph theory, number theory and combinatorics. The present book grew out of a lecture course given by the author at Yale University.

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