1. Mathematical foundation: Graph theory is a branch of mathematics, so it needs a certain mathematical foundation, including set theory, algebra, geometry, probability theory and so on. This knowledge will help you understand the basic concepts and theorems in graph theory.

2. Discrete mathematics: Discrete mathematics is a branch of mathematics that studies discrete structures and their properties, which is closely related to graph theory. Learning discrete mathematics helps you master the basic concepts in graph theory, such as set, relation, function, logic and so on.

3. Linear algebra: Linear algebra is a branch of mathematics that studies vector space and linear mapping, which is related to some algorithms and theories in graph theory. Learning linear algebra can help you better understand and apply some methods in graph theory.

4. Fundamentals of computer science: Graph theory is widely used in the field of computer science, such as data structure, algorithm, network design, etc. Therefore, learn the basic knowledge of computer science, such as data structures (such as trees, linked lists, stacks, etc. ), algorithms (such as search, sorting, dynamic programming, etc. ) and programming languages (such as C++, Java, Python, etc. ) will help you better understand and apply graph theory.

5. Logical thinking ability: Graph theory involves many abstract concepts and reasoning, so it is very important to have strong logical thinking ability. Improving one's logical thinking ability through study and practice is helpful to better understand and master graph theory.

6. Problem-solving ability: Graph theory is a widely used subject, and learning graph theory requires certain problem-solving ability. By solving practical problems and cultivating your problem-solving ability, it will help you to better apply graph theory knowledge.