Finding the successors of a given vertex

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Consider a directed graph that has n nodes and e edges, where 0 ≤ e ≤ n2.

a. What is the time complexity, using Big Oh notation, for each of the following operations when an adjacency matrix is used to represent the graph?

• Testing whether two vertices are joined by an edge

• Finding the successors of a given vertex

• Finding the predecessors of a given vertex

b. Repeat part a, but assume that the graph uses an adjacency list in its implementation instead of an adjacency matrix.

Reference no: EM131404927

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