How can one generate an Erdos-Renyi graph using Julia and retrieve the corresponding adjacency matrix?

edit

To generate an Erdos-Renyi graph using Julia and retrieve the corresponding adjacency matrix you can use the ErdosRenyi method from the LightGraphs package.

Here is an example code:

using LightGraphs

# Generate Erdos-Renyi graph with n vertices and p probability
n = 10
p = 0.2
g = erdos_renyi(n, p)

# Get adjacency matrix
adj_matrix = adjacency_matrix(g)

In this example, n is the number of vertices in the graph and p is the probability of having an edge between any two vertices. The erdos_renyi function returns a SimpleGraph object representing the generated graph.

To obtain the adjacency matrix of the graph, we use the adjacency_matrix function from LightGraphs. The adjacency_matrix function returns a sparse matrix, where the (i,j) entry is 1 if there is an edge between vertices i and j, and 0 otherwise.

Note that the adjacency matrix returned by adjacency_matrix is a sparse matrix, which can be used to efficiently perform network analysis calculations. However, if you need to perform matrix operations on the adjacency matrix, you may need to convert it to a dense matrix using the Matrix function:

dense_adj_matrix = Matrix(adjacency_matrix(g))