**What Is Multi Edges in Data Structure?**

Data structures are an essential component of computer science and programming. They provide a way to organize and store data efficiently, allowing for easier manipulation and retrieval. One concept that often comes up when working with data structures is multi-edges.

## Understanding Edges in Graphs

In order to grasp the concept of multi-edges, it is important to first understand what edges are in the context of data structures.

An edge is a connection between two vertices or nodes in a graph. A graph consists of vertices (also known as nodes) and edges, which represent the relationships between these vertices.

Edges can be directional or undirectional. In a directed graph, the edges have a particular direction, meaning they go from one vertex to another. In an undirected graph, the edges have no specific direction and can go both ways between vertices.

## What Are Multi Edges?

Now that we have an understanding of edges, let’s delve into multi-edges. Multi-edges occur when there are multiple edges connecting the same pair of vertices in a graph.

This means that instead of having just one edge connecting two vertices, there can be multiple parallel edges connecting them. Each edge may have its own attributes or weight associated with it.

### Example:

__Vertices: A__, B, C__Edges:__- A – B (weight: 5)
- A – B (weight: 7)
- A – C (weight: 3)

In the example above, we have multi-edges between vertices A and B. There are two edges connecting these vertices, each with its own weight.

## Use Cases for Multi Edges

Multi-edges can be useful in certain scenarios. They allow for representing multiple relationships or connections between the same pair of vertices.

For example, in a transportation network graph, multi-edges can represent different routes or modes of transportation between two cities. Each edge could have attributes such as distance, cost, or travel time associated with it.

Another use case for multi-edges is in social networks. They can represent various types of relationships between individuals, such as friendship, family ties, or professional connections.

## Conclusion

Multi-edges are a concept in data structures that involve having multiple edges connecting the same pair of vertices in a graph. They allow for representing multiple relationships or connections between the vertices and can be useful in various applications.

Understanding multi-edges and their use cases can help programmers and computer scientists effectively model complex relationships and optimize data structure designs.