This text offers an introduction to the theory of graphs and its application in engineering and science. The first part covers the main graph theoretic topics and in the second part, these concepts are applied to problems in engineering, operations reserach, and science. Written at an advanced undergraduate to beginning graduate level, the book is suitable for students of mathematics, engineering, operations resrach, computer science, and physical sciences as well as for researchers and practitioners with an interest in graph theoretic modelling.

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