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Graph Theory with Applications

This text has been carefully designed for flexible use. It is primarily designed to provide an introduction to some fundamental concepts in Graph Theory, for under-graduate and post-graduate 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. 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.
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