Converting between different ways to show graphs might seem tough at first. But don't worry! Once you understand it, it's pretty easy.

In computer science, the two most common ways to represent graphs are:

1. Adjacency Matrix

An adjacency matrix is like a big table with rows and columns.

• If there is a direct connection from one point (or vertex) to another, you put a 1 in the table.
• If there’s no connection, you put a 0.

This table’s size is based on the number of points you have. If there are V points, the table will be V x V.

2. Adjacency List

An adjacency list works a bit differently.

• It uses a list for each point.
• Each list shows which points are directly connected to it.

This way of showing connections can use less memory, especially when there are not too many connections.

How to Change Between Them

Here’s how to change from an adjacency matrix to an adjacency list:

1. Start by creating an empty list for each point.
2. Look at each spot in the table. If you see a 1 in row i and column j, it means there is a connection. So, add j to the list for point i.

Now, if you want to go from an adjacency list to an adjacency matrix:

1. Create a new table that has all 0s to start with.
2. For each point in the list, make the right entries in the table become 1 for each connection.

Both ways to show graphs have strengths and weaknesses. But it’s really helpful to know how to switch between them!