Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory.The book builds on the verity that graph theory even at high school level is a subject that lends itself well to the development of mathematical reasoning and proof.This is an updated edition of two books already published with World Scientific, i.e., Introduction to Graph H3 Mathematics & Introduction to Graph Solutions Manual. The new edition includes solutions and hints to selected problems. This combination allows the book to be used as a textbook for undergraduate students. Professors can select unanswered problems for tutorials while students have solutions for reference.