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2 2.
II. Use the previous graphs to create the following: 1. Adjacency matrix for G in 1. 2. Incidence matrix for G in 1. 3. Adjac

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Answer #1

In case we are given a directed graph with n vertices. Then we construct an n × n adjacency matrix A associated to the graph as follows: if there is an edge from node i to node j, then we put 1 as the entry on row i, column j of the matrix A else it remains 0.

I ) matrix is

0 1 0 0
0 0 1 0
0 0 0 1
0 0 0 0

2)incidence matrix is plotted for vertices against edges .the value of a vertices against an edge is one if it is coming towards the current vertex from any other edge while it is -1 if it is moving towards any other vertex from the current vertex.hence the incidence matrix is shown in the image below.

3)the solution for the current question is given in the image below.

4)question missing.

5)the degree of a vertex in a graph is the (no of incoming edges from the vertex + no of outgoing edges from the vertex ). hence the degree of vertex a in 2 is 3.

6)the solution of given question is shown in image below.The graph is complete and also sub graph of the graph shown in figure 2 with only b,c and d vertices.

3 1234 001 2 100 3 6 3

hope this helps !

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