Graph Theory : Fundamentals and Applications

個数：

予約

Graph Theory : Fundamentals and Applications

Samanta, Sovan

ウェブストア価格 ¥22,766（本体¥20,697）
Academic Press Inc（2026/01発売）
外貨定価 US$ 110.00
ポイント 206pt

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製本 Paperback:紙装版/ペーパーバック版／ページ数 400 p.
言語 ENG
商品コード 9780443339417

Full Description

Graph theory is a rapidly evolving and expanding mathematical discipline, with new discoveries, challenges, and techniques emerging every year. Graph Theory: Fundamentals and Applications provides a fully up-to-date and accessible introduction to graph theory, covering both the classical and the modern topics, as well as algorithms and evolving challenges addressed by discipline. Based on the latest syllabi and research trends worldwide, this book includes practical, solved problems that are user friendly to undergraduate, postgraduate, and PhD students, and acts as a key aid in learning the fundamentals and the frontiers of graph theory, as well as developing independent problem-solving and critical thinking skills. This book includes clear instruction in graph representation, basic graph operations, graph connectivity, trees and forests, matching theory, planar graphs and graph drawing, algebraic graph theory, graph traversals, network flows, topological graph theory, and cryptography, among other topics. Each chapter features key term definitions, proofs and algorithms, summary points, and unique exercises to reinforce learning, as well as open problems and research challenges that present unsolved or conjectural problems in graph theory for discussion. Supporting student and instructor sites offer additional exercises, solutions, examples, and case studies in graph theory applications.

1. Introduction to Graph Theory
2. Graph Representation
3. Basic Graph Operations
4. Graph Connectivity
5. Trees and Forests
6. Matching Theory
7. Planar Graphs and Graph Drawing
8. Hamiltonian and Eulerian Graphs
9. Graph Coloring
10. Graph Invariants and Parameters
11. Algebraic Graph Theory
12. Graph Traversals
13. Shortest Path Algorithms
14. Network Flows
15. Topological Graph Theory
16. Ramsey Theory and Extremal Graph Theory
17. Graph Minors and Decompositions
18. Graph Algorithms and Complexity Theory
19. Graphs and Cryptography
20. Graphs and Machine Learning
21. Random Graphs and Probabilistic Methods
22. Research Challenges and Open Problems
23. Appendices