Combinatorics and Graph Theory - ISBN:8122428908

Combinatorics and Graph Theory

Date: 12 April 2011, 14:06

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This text has been carefully designed for flexible use. It is primarily designed to provide an introduction to some fundamental concepts in COMBINATORICS AND GRAPH THEORY for postgraduate (Master of Computer Applications – M.C.A.) students. Each topic is divided into sections of approximately the same length, and each section is divided into subsections that form natural blocks of material for teaching. Instructors can easily pace their lectures using these blocks. All definitions and theorems in this text are stated extremely carefully so that students will appreciate the precision of language and rigor needed in mathematical sciences. Proofs are motivated and developed slowly, their steps are all carefully justified. Recursive definitions are explained and used extensively. The writing style in this book is direct and pragmatic. Precise mathematical language is used without excessive formalism and abstraction. Care has been taken to balance the mix of notation and words in mathematical statements. Over 1000 problems are used to illustrate concept, related to different topics, and introduce applications. In most examples, a question is first posed, then its solution is presented with appropriate details. The applications included in this text demonstrate the utility of combinatorics and Graph Theory in the solution of real world problem. This text includes applications to wide-variety of areas, including computer science and engineering.

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