Graph theory [electronic resource] : a problem oriented approach / Daniel A. Marcus.
2008
QA166 .M37 2008eb
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Title
Graph theory [electronic resource] : a problem oriented approach / Daniel A. Marcus.
Author
Marcus, Daniel A., 1945-
ISBN
0883857537
9780883857533
9780883857755
9780883859698 (e-book)
9780883857533
9780883857755
9780883859698 (e-book)
Publication Details
Washington, D.C. : Mathematical Association of America, c2008.
Language
English
Description
xvi, 205 p. : ill.
Call Number
QA166 .M37 2008eb
Dewey Decimal Classification
511.5
Summary
"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.
Note
Includes index.
Access Note
Access limited to authorized users.
Added Corporate Author
Mathematical Association of America.
Series
MAA textbooks
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