Construct the adjacency matrix and incidence matrix of the graph

To construct the adjacency matrix and incidence matrix of a graph, follow these steps:

1. Identify the vertices of the graph. Vertices are the individual points or nodes in the graph.

2. Create a square matrix with dimensions equal to the number of vertices in the graph. This will be the adjacency matrix.

3. For each pair of vertices (u, v), check if there is an edge connecting them. If there is, mark the corresponding entry in the adjacency matrix as 1. If there is no edge, mark the entry as 0.

4. Repeat step 3 for all pairs of vertices in the graph until the adjacency matrix is complete.

5. To construct the incidence matrix, create a matrix with dimensions equal to the number of vertices by the number of edges in the graph.

6. For each vertex and edge pair (v, e), check if the vertex v is incident to the edge e. If it is, mark the corresponding entry in the incidence matrix as 1. If it is not incident, mark the entry as 0.

7. Repeat step 6 for all vertices and edges in the graph until the incidence matrix is complete.

By following these steps, you can construct the adjacency matrix and incidence matrix of a given graph.