Question

Each edge of a graph is colored with one of the four colors red, blue, yellow, or green. How could you represent the edges in this graph using a variation of the adjacency matrix structure

Answer 1

G is the matrix representation of the four colored graph.

According to the statement

we have given that a graph is colored with one of the four colors red, blue, yellow, or green.

And we have to represent the edges of this graph using a variation of the adjacency matrix structure

So, Adjacency Matrix Structure is a way of representing a graph as a matrix of booleans (0's and 1's). A finite graph can be represented in the form of a square matrix on a computer, where the boolean value of the matrix indicates if there is a direct path between two vertices.

And in this graph representation the Adjacency Matrix Structure denoted by a matrix G.

so, there are a four colors used that's why there are 4 into 4 matrix is formed to represent the edges.

G =  $\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]$

And this is the matrix representation of the graph which is colored with four graphs.

So, G is the matrix representation of the four colored graph.

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