- Published Year: 2013
- Page count: 382
- File Size: 9 MB
- Language: English
- Published by: Waveland Press, Inc.
- Visited by: 26
- Rating/Review: 4.2
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ISBN:
Title of related interest also from Waveland Press: Molluzzo-Buckley
A First Course in Discrete Mathematics (ISBN 9780881339406).
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Each download or ask from book AI costs 2 points. To earn more free points, please visit the Points Guide Page and complete some valuable actions.Introduction to Introductory Graph Theory with Applications
Graph Theory stands as one of the cornerstones of discrete mathematics, blending both elegance and accessibility. Our book, "Introductory Graph Theory with Applications," provides an immersive journey into this fascinating subject, guiding the reader through fundamental concepts and real-world applications. Whether you are a student, educator, or enthusiast, this book serves as a comprehensive resource for understanding graph theory.
Summary of the Book
The book lays a foundational understanding of graph theory, starting from the basic definitions of graphs, vertices, and edges. We delve into important concepts such as connectivity, cycles, bipartite graphs, and the different classes of graphs including planar and Hamiltonian graphs. By addressing both undirected and directed graphs, the book provides a thorough comprehension of their applications.
Balancing theory and practical knowledge, the chapters introduce various algorithms fundamental to graph theory such as Dijkstra's and Kruskal's algorithms. These are unpacked in a step-by-step manner, providing not only the theoretical underpinnings but also practical implementations. Various real-world scenarios are presented where these algorithms play a pivotal role, which includes network design and data structure optimization.
Key Takeaways
- Comprehensive understanding of the basic concepts and components of graph theory.
- Practical insights into algorithms with applications in solving real-world problems.
- Ability to model and analyze complex networks across varied domains.
- Enhanced problem-solving skills by learning to apply graph-theoretical concepts to diverse fields like computer science and operations research.
Famous Quotes from the Book
"Graphs are the basis upon which the great game of network design and analysis is played. Understanding them unlocks uniquely powerful problem-solving abilities."
"In the universe of mathematics, graph theory offers an elegant synergy between abstraction and application; mastering it is mastering the art of foresight."
Why This Book Matters
Graph theory is not just a branch of mathematics; it is a powerful tool that crosses borders into computer science, biology, sociology, and more. As technology advances, the ability to analyze and model networks becomes increasingly important. By providing a thorough introduction to both the theoretical and practical aspects of the field, our book prepares readers to tackle modern challenges with confidence.
Moreover, "Introductory Graph Theory with Applications" stands out due to its focus on intuitive understanding, accessibility, and practical application. By weaving together rigorous academic insight with engaging examples, this book captivates and educates simultaneously. It not only meets the needs of those new to the subject but also serves as a valuable reference for seasoned practitioners.
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