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Why you should choose this textbook for your students, if you are a teacher? Why you should read this textbook, if you are a student? The material in this text provides an introduction to Graph Theory and is intended for students so that their later courses in Engineering can be covered with depth and they could be with this foundational background. The contents have been carefully designed for practical use of the students. Basically, it is designed to encourage the students for learning the fundamental concepts in Graph Theory with the help of figures. All definitions and theorems in this book are given with extreme care with the aim that the students will be benefited by the simply solved problems. A number of problems have been solved through graphs.