"Graphs, Networks and Algorithms" is a comprehensive textbook on graph theory and algorithms, second edition, edited by Dieter Jungnickel. The book is aimed at students and researchers in mathematics, computer science, and related fields. It provides an introduction to graph theory, focusing on finite graphs, and covers various algorithms for solving problems in combinatorial optimization. The book includes a wide range of topics, such as basic graph theory, algorithms and complexity, shortest paths, spanning trees, flows, combinatorial applications, connectivity, colorings, circulations, the network simplex algorithm, network synthesis, matchings, weighted matchings, and the traveling salesman problem (TSP).
The book is structured into 15 chapters, each covering a specific topic in graph theory and algorithms. It includes numerous exercises and solutions, as well as a list of symbols and references. The second edition is a thoroughly revised version of the first edition, with additional material such as a chapter on the network simplex algorithm and a section on the five color theorem. The book also discusses recent developments in the field and provides an introduction to complexity theory, including the famous open problem of whether P equals NP.
The book is written in a clear and accessible style, with an algorithmic point of view. It emphasizes the importance of understanding how to find optimal solutions efficiently, rather than just knowing that an optimal solution exists. The book is suitable for both undergraduate and graduate students, as well as researchers in the field of graph theory and algorithms. It is a valuable resource for anyone interested in the application of graph theory to real-world problems."Graphs, Networks and Algorithms" is a comprehensive textbook on graph theory and algorithms, second edition, edited by Dieter Jungnickel. The book is aimed at students and researchers in mathematics, computer science, and related fields. It provides an introduction to graph theory, focusing on finite graphs, and covers various algorithms for solving problems in combinatorial optimization. The book includes a wide range of topics, such as basic graph theory, algorithms and complexity, shortest paths, spanning trees, flows, combinatorial applications, connectivity, colorings, circulations, the network simplex algorithm, network synthesis, matchings, weighted matchings, and the traveling salesman problem (TSP).
The book is structured into 15 chapters, each covering a specific topic in graph theory and algorithms. It includes numerous exercises and solutions, as well as a list of symbols and references. The second edition is a thoroughly revised version of the first edition, with additional material such as a chapter on the network simplex algorithm and a section on the five color theorem. The book also discusses recent developments in the field and provides an introduction to complexity theory, including the famous open problem of whether P equals NP.
The book is written in a clear and accessible style, with an algorithmic point of view. It emphasizes the importance of understanding how to find optimal solutions efficiently, rather than just knowing that an optimal solution exists. The book is suitable for both undergraduate and graduate students, as well as researchers in the field of graph theory and algorithms. It is a valuable resource for anyone interested in the application of graph theory to real-world problems.