A regular graph is a type of graph in which each vertex has the same number of edges connected to it. This means that every node, or point, in the graph has an equal degree, which is the number of edges incident to that vertex. Regular graphs can be classified based on their degree; for example, a graph where each vertex has a degree of 3 is called a 3-regular graph. Regular graphs are important in various fields, including computer science and network theory, as they can model systems with uniform connectivity. They are often used in the study of graph theory, which explores the properties and relationships of graphs. Regular graphs can also be found in real-world applications, such as social networks and communication systems.