Question: Given a directed graph G = (V, E), explain how to create another graph G = (V, E) such that (a) G has the same

Given a directed graph G = (V, E), explain how to create another graph G′ = (V, E′) such that
(a) G′ has the same strongly connected components as G,
(b) G′ has the same component graph as G, and
(c) E′ is as small as possible. Describe a fast algorithm to compute G′.

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The basic idea is to replace the edges within each SCC by one simple directed cycle and ... View full answer

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