How many pairs are in the transitive closure hint do not


For the graph of Fig. 10.9, which we repeat here as Fig. 10.24:

(a) If the graph is represented as a directed graph, how many arcs are there?

(b) What are the neighborhood profiles for nodes A and B?

(c) What is the diameter of the graph?

(d) How many pairs are in the transitive closure? Hint: Do not forget that there are paths of length greater than zero from a node to itself in this graph.

(e) If we compute the transitive closure by recursive doubling, how many rounds are needed?

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Basic Computer Science: How many pairs are in the transitive closure hint do not
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