02284nam a2200253 a 4500001001400000003000700014005001700021008004100038020001800079020001500097040000800112100002200120245006800142260006800210300003300278490001800311500001900329520147100348650001701819650004401836710004001880830001801920856009201938vtls000035779KUKTEM20251117150435.0090430t2008    waua   f      000 0 eng d  a9780883857533  a0883857537  aUMP1 aMarcus, Daniel A.10aGraph theory :ba problem oriented approach /cDaniel A. Marcus  aWashington, D.C. :bMathematical Association of America,cc2008  axvi, 205 p. :bill.;c26 cm.1 aMAA textbooks  aIncludes index  a"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 0aGraph theory 0aGraph theoryvProblems, exercises, etc.2 aMathematical Association of America 0aMAA textbooks413Table of contents onlyuhttp://www.loc.gov/catdir/enhancements/fy0902/2008922013-t.html