Graph Theory by Daniel A Marcus
Graph Theory presents a natural, reader-friendly way to learn some of the essential ideas of graph theory starting from first principles. The format is similar to the companion text, Combinatorics: A Problem Oriented Approach also by Daniel A. Marcus, in that it combines the features of a textbook with those of a problem workbook. The material is presented through a series of approximately 360 strategically placed problems with connecting text. This is supplemented by 280 additional problems that are intended to be used as homework assignments. Concepts of graph theory are introduced, developed, and reinforced by working through leading questions posed in the problems. This problem-oriented format is intended to promote active involvement by the reader while always providing clear direction. This approach figures prominently on the presentation of proofs, which become more frequent and elaborate as the book progresses. Arguments are arranged in digestible chunks and always appear along with concrete examples to keep the readers firmly grounded in their motivation. Spanning tree algorithms, Euler paths, Hamilton paths and cycles, planar graphs, independence and covering, connections and obstructions, and vertex and edge colorings make up the core of the book. Hall's Theorem, the Konig-Egervary Theorem, Dilworth's Theorem and the Hungarian algorithm to the optional assignment problem, matrices, and latin squares are also explored.
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 proofsWith their intuitive appeal and pictorial representations, graphs may be a better basis than analysis and limits for such a transtion."" - Choice
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.
| SKU | Nicht verfügbar |
| ISBN 13 | 9780883857724 |
| ISBN 10 | 0883857723 |
| Titel | Graph Theory |
| Autor | Daniel A Marcus |
| Buchzustand | Nicht verfügbar |
| Bindungsart | Paperback |
| Verlag | Mathematical Association of America |
| Erscheinungsjahr | 2015-08-13 |
| Seitenanzahl | 218 |
| Hinweis auf dem Einband | Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden. |
| Hinweis | Nicht verfügbar |