What are approaches to Finding the Minimum Path?

Lower bounds on parallel algorithms: You must solve a problem using a parallel algorithm on a given interconnection network. The complexity to solve the problem on a EREW PRAM is known. Can you solve the problem faster on your given interconnection network or any other interconnection network? Explain how and justify your answer

Describe shortest path problem, explain the working of Dijkstra's Algorithm with an example.

Subject : Algorithm and Data Structure

5.04-4. Bellman Ford Algorithm - a change in DV (1, part 4). Consider the network below, and suppose that at t=0, the link between nodes b and c goes down. And so at t=0, node b recomputes its distance vector (DV) and sends out its new DV (as needed). At t=1 this new DV is received at b's neighbors, who then perform their calculation and send out their new DVs (as needed); these new DVs arrive at their neighbors at t=2, and so on. What is the last time in this network at which a DV calculation will take place as a result of the link change at t=0? U O O o 1 1 3 2 at t=0 the link (with a cost of 1) between nodes b and c goes down A 8 1 6 compute 1 1 1 1 an essentially infinite amount of time; this is the count-to-infinity problem 1 Second

Prim's MST approach may be used with a real weighted network.

Estimate the biggest graph with E = 10V that your computer and programming system could manage in 10 seconds if you used Dijkstra's technique to compute all of its shortest routes.

Transcribed Image Text 4.14. Solve the shortest path problems shown in Figure 4.15 using the original implementation of Dijkstra's algorithm. Count the number of distance updates. 10 3 (a) (b) 2.

Attached is image of the problem. Make sure to answer all parts of the problem correctly.

5. For the graph below: 7 5 9 20 3. 1 1 1 3 (Route length is the sum of the weights of the edges in the route. When no weight is assigned to an edge the weight is assumed to be 1.) What is the shortest route from 5 to 5 to 2?