Consider the network shown below. The numbers shown for each link are the delays between nearest neighbors for that link. Apply Dijkstra’s algorithm to this network starting at node 1, and label each node with the shortest path route to node 1.
Homework Answers
Add Answer to:
Consider the network shown below. The numbers shown for each
link are the delays between nearest...
Consider the network shown below. Use Dijkstra's algorithm to find the shortest paths from node a...
Consider the network shown below. Use Dijkstra's algorithm to find the shortest paths from node a to all other nodes. Enter your answers in the a shortest path answers in the following format: node-node-node. For example, if the ssignment link. Enter the shortest path from a to c is through node b, you would enter the answer as: a-b-c 3 5 6 6
Consider the following network. a. (16 pt.) With the indicated link costs, use Dijkstra’s shortest-path algorithm...
Consider the following network.
a. (16 pt.)
With the indicated link costs, use Dijkstra’s shortest-path
algorithm to compute the shortest path from “w” to
all network nodes. Show how the algorithm works by computing the
table below. Note: If there exists any tie in each step, choose the
left-most column first.
Step
N’
D(s),
p(s)
D(t),
p(t)
D(u),
p(u)
D(v),
p(v)
D(x),
p(x)
D(y),
p(y)
D(z),
p(z)
0
1
2
3
4
5
6
7
b. (7 pt.)
Construct the...
Consider the network shown below, and assume that each node initially knows the costs of to...
Consider the network shown below, and assume that each node
initially knows the costs of to each of its neighbors. Consider the
distance-vector algorithm and show the distance vector entries
at node Y. Show your work.
3 2 2 4
4. Given a network of 8 nodes and the distance between each node as shown in Figure 1: 4 1 7 0 4 4 6 6 Figure 1: Network graph of 8 nodes a) Find the shortest path tree of node 1 to all the other nod...
4. Given a network of 8 nodes and the distance between each node as shown in Figure 1: 4 1 7 0 4 4 6 6 Figure 1: Network graph of 8 nodes a) Find the shortest path tree of node 1 to all the other nodes (node 0, 2, 3, 4, 5, 6 and 7) using Dijkstra's algorithm. b) Design the Matlab code to implement Dijkstra's algorithm
4. Given a network of 8 nodes and the distance between each...
Consider the communication network shown in the figure below and suppose that each link can fail with probability p. As...
Consider the communication network shown in the figure below and suppose that each link can fail with probability p. Assume that failures of different links are independent Link 1 Link 2 B A Link 5 Link 3 Link 4 1. Assume that p = 1/3. Find the probability that there exists a path from A to Balong which no link has failed. (Give a numerical answer.) 2. Given that exactly one link in the network has failed, find the probability...
In the network below, let us suppose that the link between nodes ‘k’ and ‘m’ has...
In the network below, let us suppose that the link between nodes
‘k’ and ‘m’ has been failed. Using your knowledge of link-state
routing, calculate the shortest path from node ‘i’ to node ‘j’
before failure and after failure.
Also, mention the costs from node ‘i’ to node ‘j’ before
failure and after failure.
[Hint = For example, the cost from node ‘i’ to
node ‘r’ is 1 and the path is i-r]
m 4 n 5 r 1
1. (20 points) Consider the network shown below, and assume that each node initially knows the...
1. (20 points) Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm and show the distance table entries at each node iteration by iteration until the algorithm converges at all nodes. 10 Iteration 0 Iteration 1 Iteration 2 Iteration n (trust me, n won't be crazily too large)
Dijkstra’s Algorithm: You have to implement the Dijkstra’s algorithm and apply it on the graph provided below. You have to take the input from the user as an adjacency matrix representing the graph,...
Dijkstra’s Algorithm: You have to implement the Dijkstra’s
algorithm and apply it on the graph provided below.
You have to take the input from the user as an adjacency matrix
representing the graph, the source, the destination. Then you have
to apply the Dijkstra’s algorithm to find the shortest path from
the source and the destination, and find the shortest
route between the source and the destination.
For the input you have to read it from a file. It will...
9 Consider the computer network with nodes and communication links as shown below Each link has...
9 Consider the computer network with nodes and communication links as shown below Each link has a cost associated with it. Find a minimum spanning tree of the network that connects all nodes with minimum total link cost. Specify the minimum total cost You t use Prim's algorithm. Show all steps of the algorithm. mus 2 2 4
4. Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm. 6 2 What are the distances from y to all oth...
4. Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm. 6 2 What are the distances from y to all other nodes after y receives one message from each of its direct neighbors (assuming that these messages are the only messages that have been sent and received so far in the entire system)? What are the distances from x to all other nodes after x receives...
Consider the network shown below. Use Dijkstra's algorithm to find the shortest paths from node a to all other nodes. Enter your answers in the a shortest path answers in the following format: node-node-node. For example, if the ssignment link. Enter the shortest path from a to c is through node b, you would enter the answer as: a-b-c 3 5 6 6
Consider the following network.
a. (16 pt.)
With the indicated link costs, use Dijkstra’s shortest-path
algorithm to compute the shortest path from “w” to
all network nodes. Show how the algorithm works by computing the
table below. Note: If there exists any tie in each step, choose the
left-most column first.
Step
N’
D(s),
p(s)
D(t),
p(t)
D(u),
p(u)
D(v),
p(v)
D(x),
p(x)
D(y),
p(y)
D(z),
p(z)
0
1
2
3
4
5
6
7
b. (7 pt.)
Construct the...
Consider the network shown below, and assume that each node
initially knows the costs of to each of its neighbors. Consider the
distance-vector algorithm and show the distance vector entries
at node Y. Show your work.
3 2 2 4
4. Given a network of 8 nodes and the distance between each node as shown in Figure 1: 4 1 7 0 4 4 6 6 Figure 1: Network graph of 8 nodes a) Find the shortest path tree of node 1 to all the other nodes (node 0, 2, 3, 4, 5, 6 and 7) using Dijkstra's algorithm. b) Design the Matlab code to implement Dijkstra's algorithm
4. Given a network of 8 nodes and the distance between each...
Consider the communication network shown in the figure below and suppose that each link can fail with probability p. Assume that failures of different links are independent Link 1 Link 2 B A Link 5 Link 3 Link 4 1. Assume that p = 1/3. Find the probability that there exists a path from A to Balong which no link has failed. (Give a numerical answer.) 2. Given that exactly one link in the network has failed, find the probability...
In the network below, let us suppose that the link between nodes
‘k’ and ‘m’ has been failed. Using your knowledge of link-state
routing, calculate the shortest path from node ‘i’ to node ‘j’
before failure and after failure.
Also, mention the costs from node ‘i’ to node ‘j’ before
failure and after failure.
[Hint = For example, the cost from node ‘i’ to
node ‘r’ is 1 and the path is i-r]
m 4 n 5 r 1
1. (20 points) Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm and show the distance table entries at each node iteration by iteration until the algorithm converges at all nodes. 10 Iteration 0 Iteration 1 Iteration 2 Iteration n (trust me, n won't be crazily too large)
Dijkstra’s Algorithm: You have to implement the Dijkstra’s
algorithm and apply it on the graph provided below.
You have to take the input from the user as an adjacency matrix
representing the graph, the source, the destination. Then you have
to apply the Dijkstra’s algorithm to find the shortest path from
the source and the destination, and find the shortest
route between the source and the destination.
For the input you have to read it from a file. It will...
9 Consider the computer network with nodes and communication links as shown below Each link has a cost associated with it. Find a minimum spanning tree of the network that connects all nodes with minimum total link cost. Specify the minimum total cost You t use Prim's algorithm. Show all steps of the algorithm. mus 2 2 4
4. Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm. 6 2 What are the distances from y to all other nodes after y receives one message from each of its direct neighbors (assuming that these messages are the only messages that have been sent and received so far in the entire system)? What are the distances from x to all other nodes after x receives...
Most questions answered within 3 hours.
-
In this exercise, we will be refactoring a working program. Code
refactoring is a process to...
asked 1 hour ago -
3
researchers at Cambrige looked at 5,000 firms in Englans and found
that, in terms of...
asked 1 hour ago -
why it is important and how it integrates within ERP? And what
the core challenges of...
asked 3 hours ago -
A strawberry farmer determines that the average weight of
individual strawberries produced by plants in his...
asked 3 hours ago -
Chargaff's results yielded a molar ratio of 0.400 for A to G in
avian tubercle bacillus...
asked 5 hours ago -
Which of the following binds ATP/ADP?
a. microfilaments
b. microtubules
c. intermediate filaments
d. microfilaments and...
asked 5 hours ago -
Assume that the situation can be expressed as a linear cost
function. Find the cost function....
asked 7 hours ago -
(Sort ArrayList) Write the following method that sorts an
ArrayList: public static > void sort(ArrayList list)...
asked 8 hours ago -
2) A 9 volt battery is connected to a parallel plate capacitor
with an initial capacitance...
asked 7 hours ago -
Prince Equipment has to decide whether to obtain $1,000,000 of
financing by: (1) selling common stock...
asked 8 hours ago -
The terms electrical and electronic have similar but
different meanings which of the following statement is...
asked 8 hours ago -
You wish to test the claim that the mean GPA of night students
is than 2.5...
asked 9 hours ago