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What happens when the value of k is 0 in the Floyd Warshall Algorithm?

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in Data Structures & Algorithms II by (89.2k points)
What happens when the value of k is 0 in the Floyd Warshall Algorithm?

(a) 1 intermediate vertex

(b) 0 intermediate vertex

(c) N intermediate vertices

(d) N-1 intermediate vertices

This question was addressed to me during an online exam.

My query is from Shortest Path topic in division Shortest Path of Data Structures & Algorithms II

1 Answer

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Best answer
Right choice is (b) 0 intermediate vertex

Easiest explanation - When k=0, a path from vertex i to vertex j has no intermediate vertices at all. Such a path has at most one edge and hence dij(0) = wij.

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