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(Solved) A vertex s of a directed graph G(V;E) is called a sink if for every vertex v V - {s}, (v, s) E and (s, v) E. In other words, every vertex has an edge...


A vertex s of a directed graph G(V;E) is called a sink if for every vertex

v ∈ V - {s}, (v, s) ∈ E and (s, v) ∉ E. In other words, every vertex has an edge to s and no edge from

s. Write an algorithm that given a directed graph G, nds a sink or returns that one does not exist in

only O(|V|) time. The graph is given by adjacency matrix A. Notice that a running time of O(|V|) is

remarkable given that the input can have potentially O(|V|^2) edges.

 


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