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Full Description
This book explores the dynamic interplay between fractals and graph theory, two powerful mathematical tools with vast applications. It presents a strategic combination and the synergistic use of these disciplines to address real-world problems and challenges. The book begins with an introduction to the basic concepts of fractals and graph theory and goes on to explore the applications in various domains, including natural phenomena modeling, scheduling, and network optimisation.
This book:
Illustrates the innovative ways fractals and graph theory can be combined, laying the groundwork for future applications across various industries
Introduces the fundamental concepts and principles of both fractals and graph theory in detail, making it accessible to a broad audience, including those new to these topics
Explores practical applications in image processing, network optimisation, social network analysis, and more, demonstrating the real-world impact of these mathematical tools
Analyses advanced techniques in graph theory, such as matching, domination, and colouring, with practical examples and case studies
Highlights the latest research advancements in fractal graph theory, showcasing its potential for future developments and applications
This book is for students, researchers, and professionals in mathematics, computer science, engineering, and related fields.
Contents
1. Graph Theory- Overview 2. Fractal Graph Theory 3. Fractal & Fractal Geometry 4. Classical Iterated Function Systems 5. Fractals from Iterated Function Systems 6. Application of Fractals in Various Fields 7. Matching and Application of Matching in Real life 8. Domination and its Application in Real Life 9. Coloring and Application of Coloring in Real Life 10. Fractals in medicine 11. Fractals in Circuit Theory 12. Fractals in Architecture 13. Fractal Networks and Deep Learning
