Multigraph

A multigraph is like a coloring book that allows you to use more than one color for each picture. Normally, when you color a picture, you can only use one color for each part of the picture. But in a multigraph, you can use more than one color for each part. In other words, each part of the picture can have more than one thing in it at the same time.

In the same way, a multigraph is a type of mathematical structure that allows you to have more than one edge between two vertices. Normally, in a regular graph, there is only one edge between two vertices. But in a multigraph, you can have more than one edge between the same two vertices.

This means that in a multigraph, you can have multiple ways to get from one vertex to another. It's like having multiple roads from one city to another. In a regular graph, there is only one way to get from one vertex to another. But in a multigraph, you can have different paths that lead to the same place.

Multigraphs are used in many different areas of mathematics, such as computer science, electrical engineering, and social sciences. For example, in computer science, a multigraph can be used to represent a network of computers. In electrical engineering, a multigraph can be used to represent a circuit with multiple connections. And in social sciences, a multigraph can be used to represent relationships between people, where multiple relationships between the same two people are possible.