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Graph Theory: Fundamentals and Applications

Graph Theory: Fundamentals and Applications

          
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About the Book

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.

Table of Contents:
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


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Product Details
  • ISBN-13: 9780443339417
  • Publisher: Elsevier Science Publishing Co Inc
  • Publisher Imprint: Academic Press Inc
  • Height: 235 mm
  • No of Pages: 400
  • Weight: 450 gr
  • ISBN-10: 0443339414
  • Publisher Date: 24 May 2026
  • Binding: Paperback
  • Language: English
  • Sub Title: Fundamentals and Applications
  • Width: 191 mm


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