Algorithms on Trees and Graphs

This textbook offers a comprehensive exploration of graph algorithms, including advanced techniques and practical applications, making it suitable for both students and professionals.

This textbook provides an intuitive introduction to graph algorithms, followed by a thorough exposition using structured pseudocode. Each concept is supported by correctness proofs and analyses of worst-case scenarios. The field of graph algorithms is well-established within mathematics and computer science, and this book highlights its relevance in various classical application areas such as approximation, combinatorial optimization, graphics, and operations research.

In recent years, there has been a growing interest in graph algorithms from fields like computational biology, bioinformatics, and computational chemistry. Algorithms on Trees and Graphs delves into the fundamental issue of graph isomorphism while also addressing classical graph problems, including shortest paths, spanning trees, flows in networks, and matchings in bipartite graphs. The book presents advanced algorithmic results and techniques that are of practical relevance, making it a valuable resource for both students and professionals.

Additionally, the book includes Python code for all the algorithms discussed, which can be found in an appendix. This feature, along with numerous illustrations, examples, problems, exercises, and a comprehensive bibliography, supports readers in utilizing Algorithms on Trees and Graphs as both a textbook and a reference source.