Create an algorithm for the Dijkstra Shortest Weighted Path based on the provided data.G is a weighted (directed or undirected) network, and s is a node in it.post-cond: specifies the shortest weighted route from s to each node of G, and d the lengths of those paths.
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- Use the provided data to create the Dijkstra Shortest Weighted Path method.Precondition: S is a node in the weighted (directed or undirected) network G.Post-cond: specifies the shortest weighted route between each node of G and s, and d specifies the lengths of those paths.Example: Find the shortest path between the Node (x) and all the remaining Nodes (y, w, z, v, t, u and s) in the network shown in Figure below by Dijkstra’s Algorithm.give an example of a network with no more than 6 nodes and define all the data structure used by a distence vector and a link state algorithm. perform one iteration for both the algorithm families and show the aforementioned structires are uptaded
- i)- Write an algorithm to find the longest path in a DAG, where the length of the path is measured by the number of edges that it contains. What is the asymptotic complexity of your algorithm? ii) - Write an algorithm to find a maximum cost spanning tree, that is, the spanning tree with highest possible cost.Q1 Consider the following graph representing a network with a, b, c, d, e and z routers andthe metric is the distance. Image attached based on the attached image please show execution of Dijkastra’s algorithm to find the shortest path from router a to all other routers. Thank you in advance!P is the shortest path from u to v. Prove that the subpath from u to x is also a shortest path.
- Consider a network that is a rooted tree, with the root as its source, the leaves as its sinks, and all the edges directed along the paths from the root to the leaves. Design an efficient algorithm for finding a maximum flow in such a network. What is the time efficiency of your algorithm? Describe your algorithm step by step.Please help with clear explanation using Dijkstra algorithm, find the shortest path between source a and all other nodes. Explain your position and make a list of the shortest routes.(3) Using the following graph, draw the Minimum Spanning Tree, and by using Dijkstra’s Algorithm give the shortest path from A to F (do not confuse F with E). You may either draw the shortest path, or write out the steps needed to follow the route you find.
- What is the encoding of the data sample [1.4,2]^T that is obtained using the spanning vector c=[1.8,1.7]^T? Write the answer with 2 decimal places. Give me solution detailyDescribe an efficient algorithm for finding a maximum spanning tree in G, which would maximize the bandwidth between two switching centers. Describe the problem in terms of input and expected output clearly. Develop a program that accepts a network G of switching centers and the bandwidth between them (not all are connected directly with each other) and two switching centers a and b; it will output the maximum bandwidth between any two switches a and b. Please give solution in Java/C/Python languageIf a Dijkstra's Algorithm only provides one shortest path from some starting node to some target node, provide an explanation on how we may change the algorithm so that it returns all shortest paths.