What is the parallel run time of this formulation

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Consider Dijkstra's single-source shortest paths algorithm for sparse graphs (Section 10.7). We can parallelize this algorithm on a p-process hypercube by splitting the n adjacency lists among the processes horizontally; that is, each process gets n/p lists. What is the parallel run time of this formulation? Alternatively, we can partition the adjacency list vertically among the processes; that is, each process gets a fraction of each adjacency list. If an adjacency list contains m elements, then each process contains a sublist of m/p elements. The last element in each sublist has a pointer to the element in the next process. What is the parallel run time and speedup of this formulation? What is the maximum number of processes that it can use?

Reference no: EM131091126

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