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So max flow=6
Min cut with residuals is shown in figure
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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....
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
Consider the directed graph shown below: a) What is the minimum capacity cut through this graph...
Consider the directed graph shown below:
a) What is the minimum capacity cut through this graph (which is
the maximum flow in the network represented
by the graph) and which edges are
involved?
b) Using the ShortestAugmentingPath algorithm, find the flows
through each edge (the xij 's) that produce the
maximum flow.
4 3 4
Algorithm Question 5. Below is a graph with edge lengths. Apply Dijkstra's algorithm to find the shortest paths, starting at vertex A, to all other vertices. Write down the sequence in which the...
Algorithm Question
5. Below is a graph with edge lengths. Apply Dijkstra's algorithm to find the shortest paths, starting at vertex A, to all other vertices. Write down the sequence in which the edges are chosen, breaking ties by using vertices at the same length in alphabetic orde. 3 Ga 2
5. Below is a graph with edge lengths. Apply Dijkstra's algorithm to find the shortest paths, starting at vertex A, to all other vertices. Write down the sequence in...
For the directed weighted graph given below find shortest distances and shortest paths from A to...
For the directed weighted graph given below find shortest
distances and shortest paths from A to all other vertices. Use the
Dijkstra algorithm. Show the status of the array of distances after
each iteration of the while loop.
2-1 C ) 泊 H e- 90油 2 2 22 (4-21由121回 G
graph below represents a network and the capacities are the sumber written on edges. The source is node a, and the target is node h. a. 10 (e) Show a fow of size 7 units going from the source a t...
graph below represents a network and the capacities are the sumber written on edges. The source is node a, and the target is node h. a. 10 (e) Show a fow of size 7 units going from the source a to the target h. (Write on the graph, next to the capacity, how many units of flow go through each edge.) (b) Consider the cut (L, R), wbere L (o) and R-(d.e.cf.s.Al, Indicate the edges crosig show that this cut...
Let (G, s, t, c) be a flow network G = (V, E), A directed edge...
Let (G, s, t, c) be a flow network G = (V, E), A directed edge e = (m u) is called always fu ir f(e) e(e) forall maximum fiows f: it is called sometimes fullit f(e)for some but not all maximum flows: it is caled never fulit f(e) <c(e) for all maximum flows. Let (S, V S be a cut. That is, s E S,teV S. We say the edge u, ) is crossing the cut ifu E SandrEV\...
5 Network Flow, 90p. Consider the below flow network, with s the source and t the sink. 5 4 1. (10p) Draw a flow with value 8. (You may write it on top of the edges in the graph above, or draw a...
5 Network Flow, 90p. Consider the below flow network, with s the source and t the sink. 5 4 1. (10p) Draw a flow with value 8. (You may write it on top of the edges in the graph above, or draw a new graph.) You are not required to show how you construct the flow (though it may help you to apply say the Edmonds-Karp algorithm). 2. (5p) List a cut with capacity 8. (You may draw it in...
MST For an undirected graph G = (V, E) with weights w(e) > 0 for each edge e ∈ E, you are given a MST T. Unfortunately one of the edges e* = (u, z) which is in the MST T is deleted from the graph G...
MST For an undirected graph G = (V, E) with weights w(e) > 0 for each edge e ∈ E, you are given a MST T. Unfortunately one of the edges e* = (u, z) which is in the MST T is deleted from the graph G (no other edges change). Give an algorithm to build a MST for the new graph. Your algorithm should start from T. Note: G is connected, and G − e* is also connected. Explain...
When using the K-map to find the equations for DA and DB for the problem down below, how can you tell which variable is...
When using the K-map to find the equations for DA and DB for the problem down below, how can you tell which variable is supposed to be for the row and columns? How can I tell if the rows for the 2x4 k-maps would be dealing with "A" while the columns would be dealing with "Bx"? Does it even matter how I set up the K-map? --------------------------------------------------------------------------------------------------------------------------------------------------------- Design a sequential circuit with two D flip-flops A and B, and one...
9 Geometry via calculus In this exercise you will see one way to use calculus to do grometry a) Here is one way to find the perpendicsler distance from a point to a line L (no caleulus yet) Let&...
9 Geometry via calculus In this exercise you will see one way to use calculus to do grometry a) Here is one way to find the perpendicsler distance from a point to a line L (no caleulus yet) Let's say L has equation y-3r+2 and the point is (2.1) First, make a graph (picture) of the situation 2Now find an equation for the line AM through (2, 1) perpendicular to L (draw it first, of course). 3. Find the (coordinates...
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
Consider the directed graph shown below:
a) What is the minimum capacity cut through this graph (which is
the maximum flow in the network represented
by the graph) and which edges are
involved?
b) Using the ShortestAugmentingPath algorithm, find the flows
through each edge (the xij 's) that produce the
maximum flow.
4 3 4
Algorithm Question
5. Below is a graph with edge lengths. Apply Dijkstra's algorithm to find the shortest paths, starting at vertex A, to all other vertices. Write down the sequence in which the edges are chosen, breaking ties by using vertices at the same length in alphabetic orde. 3 Ga 2
5. Below is a graph with edge lengths. Apply Dijkstra's algorithm to find the shortest paths, starting at vertex A, to all other vertices. Write down the sequence in...
For the directed weighted graph given below find shortest
distances and shortest paths from A to all other vertices. Use the
Dijkstra algorithm. Show the status of the array of distances after
each iteration of the while loop.
2-1 C ) 泊 H e- 90油 2 2 22 (4-21由121回 G
graph below represents a network and the capacities are the sumber written on edges. The source is node a, and the target is node h. a. 10 (e) Show a fow of size 7 units going from the source a to the target h. (Write on the graph, next to the capacity, how many units of flow go through each edge.) (b) Consider the cut (L, R), wbere L (o) and R-(d.e.cf.s.Al, Indicate the edges crosig show that this cut...
Let (G, s, t, c) be a flow network G = (V, E), A directed edge e = (m u) is called always fu ir f(e) e(e) forall maximum fiows f: it is called sometimes fullit f(e)for some but not all maximum flows: it is caled never fulit f(e) <c(e) for all maximum flows. Let (S, V S be a cut. That is, s E S,teV S. We say the edge u, ) is crossing the cut ifu E SandrEV\...
5 Network Flow, 90p. Consider the below flow network, with s the source and t the sink. 5 4 1. (10p) Draw a flow with value 8. (You may write it on top of the edges in the graph above, or draw a new graph.) You are not required to show how you construct the flow (though it may help you to apply say the Edmonds-Karp algorithm). 2. (5p) List a cut with capacity 8. (You may draw it in...
9 Geometry via calculus In this exercise you will see one way to use calculus to do grometry a) Here is one way to find the perpendicsler distance from a point to a line L (no caleulus yet) Let's say L has equation y-3r+2 and the point is (2.1) First, make a graph (picture) of the situation 2Now find an equation for the line AM through (2, 1) perpendicular to L (draw it first, of course). 3. Find the (coordinates...
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