Which of the following problems can be solved in O(n3) time, where n is the number of vertices in the input graph? (Choose all that apply.) a) Given a directed graph G=(V,E) with nonnegative edge lengths, compute the maximum length of a shortest path between any pair of vertices (that is, maxv,w∈Vdist(v,w)). b) Given a directed acyclic graph with real-valued edge lengths, compute the length of a longest path between any pair of vertices. c) Given a directed graph with nonnegative edge lengths, compute the length of a longest cycle-free path between any pair of vertices. d) Given a directed graph with real-valued edge lengths, compute the length of a longest cycle-free path between any pair of vertices.
Which of the following problems can be solved in O(n3) time, where n is the number of vertices in the input graph? (Choose all that apply.) a) Given a directed graph G=(V,E) with nonnegative edge lengths, compute the maximum length of a shortest path between any pair of vertices (that is, maxv,w∈Vdist(v,w)). b) Given a directed acyclic graph with real-valued edge lengths, compute the length of a longest path between any pair of vertices. c) Given a directed graph with nonnegative edge lengths, compute the length of a longest cycle-free path between any pair of vertices. d) Given a directed graph with real-valued edge lengths, compute the length of a longest cycle-free path between any pair of vertices.
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