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b) Starting with the flow given below, use the augmenting algorithm to find a maximal flow,...
10 points) Use the Max Flow algorithm to find the maximum flow through the network shown...
10 points) Use the Max Flow algorithm to find the maximum flow through the network shown below and also give a minimum cut to verify that is the correct value. A (4,0) B (5,0) (3,0) (5,0) (4,0) E S (13,0) (6.0) D (4,0) (6,0) (3,0) (14,0) (6.0) (12,0) (2,0) с (3,0) (5,0) F
QUESTION Use the Augmenting Paths method to find the maximum flow from the source node s...
QUESTION Use the Augmenting Paths method to find the maximum flow from the source node s to sink node tin the flow network represented by the graph below. In your solution show the algorithm iterations, and for each iteration show the augmenting path and that path's flow. Attach File Browse My Computer
Find the minimal spanning trees for the Graph below using Prim's algorithm. a) Starting from A....
Find the minimal spanning trees for the Graph below using Prim's algorithm. a) Starting from A. b) Starting from D, and c) Starting from E. What is the sum of the weighted value of the minimal path? We were unable to transcribe this image
Algorithms Below is a directed graph with edge capacities. Find the maximum flow from A to K. Write down the augmenting paths you chose, the residual capacities, and the graph with that maximum fHow....
Algorithms
Below is a directed graph with edge capacities. Find the maximum flow from A to K. Write down the augmenting paths you chose, the residual capacities, and the graph with that maximum fHow. Also give the minimum cut which shows that the flow is maximum.
Below is a directed graph with edge capacities. Find the maximum flow from A to K. Write down the augmenting paths you chose, the residual capacities, and the graph with that maximum fHow. Also...
We will look at how the Ford-Fulkerson Algorithm operates on the following network.
We will look at how the Ford-Fulkerson Algorithm operates on the following network.Each edge is annotated with the current flow (initially zero) and the edge's capacity. In general, a flow of x along an edge with capacity y is shown as x / y.(a) Show the residual graph that will be created from this network with the given (empty) flow. In drawing a residual graph, to show a forward edge with capacity x and a backward edge with capacity y,...
Question 4 (20 marks) Let N be the network below, where ax and y are the...
Question 4 (20 marks) Let N be the network below, where ax and y are the source and sink respectively, and the arc S capacities are shown next to each arc. An initial flow of this network is given in parentheses 3(0) 6(0) 5(0) 4(0) 3(1) 2(0) X 2(1) 2(0) 3(1), 5(1) 4(0) 2(2) 2.5(1) V Starting from the given flow, use the labelling algorithm to find a maximum flow in N. Show every stage of the algorithm. State the...
Consider the graph given above. Use the nearest neighbor algorithm to find the Hamiltonian circuit starting at vertex C.
Consider the graph given above. Use the nearest neighbor algorithm to find the Hamiltonian circuit starting at vertex C. a. List the vertices in the Hamiltonian circuit in the order they are visited. Do not forget to include the starting vertex at both ends. b. What is the total weight along the Hamiltonian circuit?
(6 points) Use the network shown below to answer the following questions: (7,5) (8,8) (5,3) s...
(6 points) Use the network shown below to answer the following questions: (7,5) (8,8) (5,3) s (6,0) T (3,3) (4,3) (3,0) (5,0) B (4,0) D (a) What is the current flow through this network? (b) Find the last remaining augmenting semipath within this network and determine by how much the flow can be augmented from that path.
Consider the graph given above. Use the nearest neighbor algorithm to find the Hamiltonian circuit starting at vertex E.
Consider the graph given above. Use the nearest neighbor algorithm to find the Hamiltonian circuit starting at vertex E. a. List the vertices in this Hamiltonian circuit in the order they are visited. Do not forget to include the starting vertex at both ends. b. What is the total weight along this Hamiltonian circuit?
4) Consider the network flow graph below, where each arc is labeled with the maximum capacity...
4) Consider the network flow graph below, where each arc is labeled with the maximum capacity of that link in the flow network. A 25C 15 - 10,- -* YD 15 35 20 40 10 X 2 (a) Use the Ford-Fulkerson Algorithm to determine the maximum total flow from source to sink in this network. Start with the path s B DA Ct and list (in order) the remaining paths added and the total flow after each path is added....
10 points) Use the Max Flow algorithm to find the maximum flow through the network shown below and also give a minimum cut to verify that is the correct value. A (4,0) B (5,0) (3,0) (5,0) (4,0) E S (13,0) (6.0) D (4,0) (6,0) (3,0) (14,0) (6.0) (12,0) (2,0) с (3,0) (5,0) F
QUESTION Use the Augmenting Paths method to find the maximum flow from the source node s to sink node tin the flow network represented by the graph below. In your solution show the algorithm iterations, and for each iteration show the augmenting path and that path's flow. Attach File Browse My Computer
Find the minimal spanning trees for the Graph below using Prim's algorithm. a) Starting from A. b) Starting from D, and c) Starting from E. What is the sum of the weighted value of the minimal path? We were unable to transcribe this image
Algorithms
Below is a directed graph with edge capacities. Find the maximum flow from A to K. Write down the augmenting paths you chose, the residual capacities, and the graph with that maximum fHow. Also give the minimum cut which shows that the flow is maximum.
Below is a directed graph with edge capacities. Find the maximum flow from A to K. Write down the augmenting paths you chose, the residual capacities, and the graph with that maximum fHow. Also...
We will look at how the Ford-Fulkerson Algorithm operates on the following network.Each edge is annotated with the current flow (initially zero) and the edge's capacity. In general, a flow of x along an edge with capacity y is shown as x / y.(a) Show the residual graph that will be created from this network with the given (empty) flow. In drawing a residual graph, to show a forward edge with capacity x and a backward edge with capacity y,...
Question 4 (20 marks) Let N be the network below, where ax and y are the source and sink respectively, and the arc S capacities are shown next to each arc. An initial flow of this network is given in parentheses 3(0) 6(0) 5(0) 4(0) 3(1) 2(0) X 2(1) 2(0) 3(1), 5(1) 4(0) 2(2) 2.5(1) V Starting from the given flow, use the labelling algorithm to find a maximum flow in N. Show every stage of the algorithm. State the...
(6 points) Use the network shown below to answer the following questions: (7,5) (8,8) (5,3) s (6,0) T (3,3) (4,3) (3,0) (5,0) B (4,0) D (a) What is the current flow through this network? (b) Find the last remaining augmenting semipath within this network and determine by how much the flow can be augmented from that path.
4) Consider the network flow graph below, where each arc is labeled with the maximum capacity of that link in the flow network. A 25C 15 - 10,- -* YD 15 35 20 40 10 X 2 (a) Use the Ford-Fulkerson Algorithm to determine the maximum total flow from source to sink in this network. Start with the path s B DA Ct and list (in order) the remaining paths added and the total flow after each path is added....
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