"A Textbook of Graph Theory" is a comprehensive and updated introduction to graph theory, aimed at both students and professionals. The second edition of this textbook offers an expanded and in-depth treatment of central topics in graph theory. Newly added chapters address dominance in graphs as well as the spectral properties of graphs, including a discussion on graph energy. Additionally, the chapter on graph coloring has been expanded to cover additional topics such as homomorphisms and the uniqueness of the Mycielski construction up to isomorphism. The book is rich in interesting theorems and applications that introduce readers to the depths of graph theory and help them understand complex concepts.