Now with solutions to selected problems, Applied Combinatorics, Second Edition presents the tools of combinatorics from an applied point of view. This bestselling textbook offers numerous references to the literature of combinatorics and its applications that enable readers to delve more deeply into the topics. After introducing fundamental counting rules and the tools of graph theory and relations, the authors focus on three basic problems of combinatorics: counting, existence, and optimization problems. They discuss advanced tools for dealing with the counting problem, including generating functions, recurrences, inclusion/exclusion, and PA³lya theory. The text then covers combinatorial design, coding theory, and special problems in graph theory. It also illustrates the basic ideas of combinatorial optimization through a study of graphs and networks.We have tried to include references to the literature of combinatorics and its applications that will allow the interested reader to ... Both authors would also like to thank Aritanan Gruber, David Papp, and Paul Ra for their help with working out answers to selected exercises. ... Cozzens, Paul Duvall, Marty Golumbic, Fred Homan, Steve Maurer, Ronald Mullin, Robert Tarjan, Tom Trotter, and Alan Tucker.
|Title||:||Applied Combinatorics, Second Edition|
|Author||:||Fred Roberts, Barry Tesman|
|Publisher||:||CRC Press - 2009-06-03|