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Strayer,Devery,Harvard University
Mar-1995 - Mar-2002
Manager Planning
WalMart
Mar-2001 - Feb-2009
Hi , I need some help with these question on design and analysis of computer algorithm.
1.Give an example of an application of a graph, in which determining all pairs shortest paths would be of importance. Describe what the vertices, edges and edge weights of the graph represent. Explain the significance of the shortest path for such a graph and why it would be important.
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2.The traveling salesperson problem is a harder problem than Dijkstra's single-source shortest path problem. In other words, the typical Greedy algorithm approach does not work for this problem. It is even harder than the all-points shortest path algorithm implemented with Floyd's algorithm. Give an example of a graph that shows that the path that would be chosen by relying on shortest-path information by choosing the closest vertex each time isn't sufficient to find the shortest circuit. What makes this problem harder? Why are the straight forward approaches to this problem exponential?
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