State a modification of generic label-correcting algorithm

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1. We define an in-tree of shortest paths as a directed in-tree rooted at a sink node t for which the tree path from any node i to node t is a shortest path. State a modification of the generic label-correcting algorithm that produces an in-tree of shortest paths.

2. Let G = (N₁ U N₂, A) be a bipartite network. Suppose that n₁ = | N₁ |, n₂ = | N₂| and n₁ ≤ n₂. Show that the FIFO label-correcting algorithm solves the shortest path problem in this network in O(n₁m) time.

Reference no: EM131258990

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