Question: Let G = (V, E, w) be a weighted graph, u, v belongsto V. a. DIJKSTRA's SSSP algorithm uses function RELAX. Write pseudocode for RELAX(u,

Let G = (V, E, w) be a weighted graph, u,

Let G = (V, E, w) be a weighted graph, u, v belongsto V. a. DIJKSTRA's SSSP algorithm uses function RELAX. Write pseudocode for RELAX(u, v), and describe briefly the variables used. b. What loop invariant is preserved by RELAX? c. Write pseudocode for DIJKSTRA's SSSP Algorithm. You may use function INITIALIZE without further explanation. d. Give tight bounds for the running time of DIJKSTRA's SSSP algorithm using (i) a BINARY HEAP, and (ii) a FIBONACCI HEAP

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