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State a dynamic programming recursion

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Reference no: EM131168792

Let G be a directed acyclic graph on n vertices, in which each edge (i, j) has length cij.

State a dynamic programming recursion that calculates the shortest distance from every vertex to a terminal vertex t.

Hints: Let fk(i) denote the length of the shortest path from i to t that contains k or fewer edges, and define fk(·) recursively in terms of fk-1(·).

The boundary conditions are f0(i) = ∞ for i ≠ t and f0(t) = 0.

Reference no: EM131168792

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