The following graph shows the relationships between a set of YouTube clips
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The following graph shows the relationships between a set of YouTube clips

Question 3

The following graph shows the relationships between a set of YouTube clips.


Using this graph:

(a) Construct the adjacency matrix.

(b) Compute the graph diameter.

(c) Calculate the betweenness centrality for each vertex.

(d) Which vertex is most central according to the betweenness centrality?

(e) Find the density of the graph.

Hint
ManagementBetweenness denotes the centrality measure of a vertex within a graph. Betweenness centrality measures the number of times a node works as a linkage along the shortest path between the other two nodes. In order to compute betweenness centrality, take every pair of the network and compute how many times a node can interject the shortest paths between the two nodes of the pair....
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