Consider the 6-node network shown below, with the given link costs. Using Dijkstra algorithm, find the least cost path from source node U to all other destinations:
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- Subject : Algorithm and Data Structure5.04-4. 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 SecondQuestion 2 a) Given the following undirected graph: LO 5 1 3 LO 5 Represent the graph as: (i) Adjacency matrix (ii) Adjacency list (iii) Incidence matrix 4 2 6 15 20 2 4 10 7 3 3 2
- Prim's MST approach may be used with a real weighted network.What are the three prerequisites for a network to function optimally? Let's break them down and examine them separately.After how many time ticks, will L's distance vector (i.e., its DV that it exchanges with its neighbor) reflect this change in topology?
- 5.04-3. Bellman Ford Algorithm - a change in DV (1, part 3). Consider the network below, and suppose that at t=0, the link between nodes g and h goes down. And so at t=0, nodes g and h recompute their DVs. Following this recomputation, to which nodes will h send its new distance vector? (Note: to answer this question, you’ll need to know some of the DV entries at g and h at t=0, but hopefully they’ll be obvious by inspection).Consider a network with a maximum flow and an arriving arc-free node other than the source node. Is it feasible to delete this node without affecting the maximum flow value in any way? Is it also feasible to delete a node that is not the sink node without generating an arc?Dynamic ProgrammingConsider the following network below: (a) Label all of the nodes such that for every arc, (i,j), where i is the start and j the end node for the arc, the labels satisfy i < j.(b) Why can we use the node labeling algorithm to label the nodes in this network? (c) Use forward DP to find the shortest path from your first labeled node to every node in the network.(d) What fundamental characteristic of dynamic programs allow us to breakdown large-sized problems into a series of smaller-sized problems? What does this characteristic establishes?
- PLEASE answer ASAP I will give upvotes if you answer as soon as possible This is Iterative Improvementa) Given the following undirected graph: 4 1 5 3 Represent the graph as: (i) Adjacency matrix (ii) Adjacency list (iii) Incidence matrix 5 9 A 6 15 20 2 10 7 3 درا 25. 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?