02812nam a2200373 a 4500 ebr10733067 CaPaEBR m o u cr cn||||||||| 080130s2008 dcua s 001 0 eng d 2008922013 0883857537 9780883857533 9780883857755 9780883859698 (e-book) CaPaEBR CaPaEBR (OCoLC)857078197 QA166 .M37 2008eb 511.5 22 Marcus, Daniel A., 1945- Graph theory [electronic resource] : a problem oriented approach / Daniel A. Marcus. Washington, D.C. : Mathematical Association of America, c2008. xvi, 205 p. : ill. MAA textbooks Includes index. "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."--Back cover. Electronic reproduction. Palo Alto, Calif. : ebrary, 2013. Available via World Wide Web. Access may be limited to ebrary affiliated libraries. Graph theory. Graph theory Problems, exercises, etc. Electronic books. local Mathematical Association of America. ebrary, Inc. http://site.ebrary.com/lib/rucke/Doc?id=10733067 An electronic book accessible through the World Wide Web; click to view 36716 36716