Explain The Maximum Capacity Path Problem and the Minimum Spanning Tree Problem
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Explain The Maximum Capacity Path Problem and the Minimum Spanning Tree Problem
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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.Based on the given data: a) Determine the total number of paths in the precedence network b) Which of the following is NOT one of the paths? Explain ABC GHI BGI GEF c) What is the duration of the CRITIAL PATH(s)? d) What is the duration of the SHORTEST PATH?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.
- (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.Construct an undirected network diagram using the given set of nodes and arcs, also find the shortest path and distance from node A to node E using Dijkstra’s algorithm. Nodes {A, B, C, D, E} Arcs {(AB)=2, (AC)=3, (BC)=2, (CD)=1, (DB)=2, (DE)=1, (CE)=6}Solve those Two questions: 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.
- What are approaches to Finding the Minimum Path?Consider the following shortest path problem. Find the total distance of shortest route from Node 1 to Node 4. From To Node Node Distance 1 2 250 1 3 400 1 4 600 2 3 50 2 4 300 3 4 200 a. 600 b. 50 c. 750 d. 500 e. 550Describe 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 language
- What are the fundamental distinctions between Dijkstra's algorithm-based link state routing principles and Bellman Ford equation-based distance vector routing principles?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.In order for a network to function properly, what are the three conditions that must be met? Let's dissect them one by one and see how they stack up.