Graph theory a problem oriented approach Marcus, Daniel A. 1945- creator Mathematical Association of America ebrary, Inc text Electronic books. dcu Washington, D.C Mathematical Association of America c2008 2008 monographic eng
electronic
electronic resource
xvi, 205 p. : ill. "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. Daniel A. Marcus. Includes index. 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 QA166 .M37 2008eb 511.5 MAA textbooks http://site.ebrary.com/lib/rucke/Doc?id=10733067 http://site.ebrary.com/lib/rucke/Doc?id=10733067 CaPaEBR 080130 ebr10733067