Lectures on Graph Theory by B. A. Emelicheva and his colleagues are an indispensable source of knowledge for students studying mathematics and applied mechanics. This work is not just a textbook, but a real encyclopedia, in which the basic concepts and methods of graph theory are deeply and openly revealed. Graph theory is a branch of mathematics that studies graphs, that is, structures consisting of vertices and edges connecting them. This field of knowledge is widely used in various fields: from computer science and network technologies to biology and sociology. In the book you will find not only theoretical foundations, but also practical tasks that will help to consolidate the knowledge gained and develop analytical thinking. Who is this publication suitable for? First of all, it will be useful for students studying in the specialties "Mathematics" and "Applied Mechanics" . However, interest in graph theory can also arise in students of other areas, such as computer science, economics and physics. If you are passionate about mathematics, love to solve problems and strive to understand how abstract concepts are applied in real life, this book will be a real discovery for you. One of the key topics raised in the book is the connection of graph theory with other fields of science. The authors show how graphs can model complex systems and processes, making them indispensable tools in research activities. Readers will be able to learn about the different types of graphs, such as orientated and undirected, weighted and unweighted, as well as the methods of their analysis and optimization. This knowledge will not only deepen the understanding of mathematical foundations, but also open new horizons for the application of graph theory in practical problems. The author's style is clear and accessible. In. A. Emelichev is an experienced teacher and researcher who is able to convey complex ideas to students using simple and understandable explanations. His other works also deserve attention, including textbooks on discrete mathematics and combinatorics, which have already gained popularity among students and teachers. The book "Lectures on Graph Theory" not only enriches the reader with knowledge, but also inspires further study of mathematics. It encourages reflection on how theoretical concepts can be applied to solve real-world problems. This publication will be an excellent help for exam preparation and research, as well as for those who want to deepen their knowledge in the field of graph theory. If you are looking for a high-quality tutorial that will help you understand the intricacies of graph theory, do not miss the opportunity to get acquainted with this book. It will become your reliable companion in the world of mathematics and will open the door to new knowledge and opportunities. Do not miss the chance to become an expert in one of the most exciting and relevant areas of science!