Essential Graph Theory : Concepts and Algorithms

Asir, T./ Prathibha, M. Evangeline/ Reddy, B. Surendranath

Cambridge University Press（2025/09発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 334 p.
• 言語 ENG
• 商品コード 9781009559379

Full Description

Designed for undergraduate students of computer science, mathematics, and engineering, this book provides the tools and understanding needed to master graph theory and algorithms. It offers a strong theoretical foundation, detailed pseudocodes, and a range of real-world and illustrative examples to bridge the gap between abstract concepts and practical applications. Clear explanations and chapter-wise exercises support ease of comprehension for learners. The text begins with the basic properties of graphs and progresses to topics such as trees, connectivity, and distances in graphs. It also covers Eulerian and Hamiltonian graphs, matchings, planar graphs, and graph colouring. The book concludes with discussions on independent sets, the Ramsey theorem, directed graphs and networks. Concepts are introduced in a structured manner, with appropriate context and support from mathematical language and diagrams. Algorithms are explained through rules, reasoning, pseudocode, and relevant examples.

Contents

Preface; 1. Introduction to graphs; 2. Basic properties of graphs; 3. Trees; 4. Connectivity; 5. Distance in Graphs; 6. Eulerian graphs and Hamiltonian graphs; 7. Matchings; 8. Planar graphs; 9. Coloring of Graphs; 10. Independent sets and Ramsey theory; 11. Directed Graphs; Bibliography; Index.