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Which algorithm efficiently calculates the single source shortest paths in a Directed Acyclic Graph?ans.

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Which algorithm efficiently calculates the single source shortest paths in a Directed Acyclic Graph?ans.

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Describe, in plain English, an algorithm that given a weighted, directed, acyclic graph G=(V,E,w) (with integer weights) and a vertex s in V calculates the length of the longest path from s to every other vertex v (if a vertex is unreachable from s, then the length of the longest path for that vertex should be infinity). Your algorithm should run in O( |V| + |E| ) time in total, assuming that G is implemented with an adjacency list, as usual. Explain why your algorithm has this running time.[Hint: you might want to consider a new graph G', more or less similar to G, and reduce the problem for G to a problem for G' that we have solved in the lectures]

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