Hello! Graph theory is indeed a fascinating subject and has many practical applications in computer science and other fields. Here are some resources you can use to get started:

"Introduction to Graph Theory" by Richard J. Trudeau: This book provides a gentle introduction to graph theory and covers many of the basic concepts and algorithms. It is suitable for beginners and has a practical focus.

"Graph Theory with Applications" by J.A. Bondy and U.S.R. Murty: This book is a more comprehensive introduction to graph theory and includes many examples and exercises. It also has a practical focus and covers many applications of graph theory in computer science and other fields.

"Algorithms" by Robert Sedgewick and Kevin Wayne: This is a book on algorithms, but it includes a thorough introduction to graphs and graph algorithms. It covers both the theory and practical applications of graph algorithms and is suitable for beginners.

As for prerequisites, you should have a good understanding of basic mathematics, including algebra, calculus, and discrete mathematics. If you need to brush up on these subjects, you can find many online resources and textbooks to help you. Some useful resources include Khan Academy, MIT OpenCourseWare, and Coursera.

Once you have a good grasp of the basics, you can start learning about graph theory. The quickest path to learning the prerequisites would be to find a textbook or online course that covers the topics you need to know and work through the material systematically. Once you have a good understanding of the basics, you can move on to more advanced topics in graph theory. Good luck!
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