Homework Answers
![ALGORITHM INITIALIZE SINGLE SOURCE G,s) 1. for each vertex v e VIG] 3, 4. π(v) ← Nil d[s]-0 ALGORITHM RELAXuv,w) 2. then d[v] ←d[u] + w(Hiv) ALGORITHM DIJKSTRA(G,W,S) 1. INITIALIZE-SINGLE-SOURCE(G,S) 3. Initialize Priority Queue ins/ Q ←V[G] 4, while Q φ 5. do u ← Extract. min(Q) 7. for each vertex v EAdilu] 8. do RELAX(u,v,w](http://img.homeworklib.com/questions/782d7b80-a0c8-11eb-83b0-21a4f6af2efb.png?x-oss-process=image/resize,w_560)
Add Answer to:
Shortest paths Consider a directed graph with vertices fa, b, c, d, e, f and adjacency...
Consider the problem of finding the shortest paths in a weighted directed graph using Dijkstra's algorithm.
Consider the problem of finding the shortest paths in a weighted directed graph using Dijkstra's algorithm. Denote the set of vertices as V, the number of vertices as |V|, the set of edges as E, and the number of edges as |E|. Answer the following questions.Below is a pseudo-code of the algorithm that computes the length c[v] of the shortest path from the start node s to each node v. Answer code to fill in the blank _______ .
a. (15 marks) i (7 marks) Consider the weighted directed graph below. Carry out the steps...
a. (15 marks) i (7 marks) Consider the weighted directed graph below. Carry out the steps of Dijkstra's shortest path algorithm as covered in lectures, starting at vertex S. Consequently give the shortest path from S to vertex T and its length 6 A 2 3 4 S T F ii (2 marks) For a graph G = (V, E), what is the worst-case time complexity of the version of Dijkstra's shortest path algorithm examined in lectures? (Your answer should...
Question 1 (1.5 marks) Consider the subnet of the following figure. Shortest Path routing is used, and the weights on each edge is shown. Compute the shortest path from E to D using Dijkstra's al...
Question 1 (1.5 marks) Consider the subnet of the following figure. Shortest Path routing is used, and the weights on each edge is shown. Compute the shortest path from E to D using Dijkstra's algorithm. Show your steps and describe your figures briefly. 4
Question 1 (1.5 marks) Consider the subnet of the following figure. Shortest Path routing is used, and the weights on each edge is shown. Compute the shortest path from E to D using Dijkstra's algorithm. Show...
2. (a) (2 points - Completeness) Dijkstra's Walk-through Dijkstra's algorithm to compute the shortest paths from...
2. (a) (2 points - Completeness) Dijkstra's Walk-through Dijkstra's algorithm to compute the shortest paths from A to every other node in the given graph Show your steps in the table below. Do this by crossing out old values and writing in new ones as the algorithm proceeds 25 9 7 (D-G) 19 14 (B-E) 4 (A-C) 2 2 (G-H) Vertex Visited Cost Previous (b) (6 points-Correctness) All Vertices, in Order Visited: Visited-= Found the Shortest Path to) (c) (2...
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...
5. Here are the vertices and edges of directed graph G: V= {2.6.c.de.f} E= {ab, ac,...
5. Here are the vertices and edges of directed graph G: V= {2.6.c.de.f} E= {ab, ac, af ca. bc. be.bf. cd, ce, de, df). Weights: w(ab) = 2 w(ac) = 5, w(af) = 10, w(ca) = 2. w(be) = 2. w(be) = 10, w(bf) = 11. w(cd)= 9. w(ce) = 7. w(de) = 2. w(df) = 2. a. Draw the Graph. This is a directed, weighted graph so you need to include arrows and weights. You can insert a pic...
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
1. In the following graph, suppose that the vertices A, B, C, D, E, and F represent towns, and th...
question 1 and 2 please, thank
you.
1. In the following graph, suppose that the vertices A, B, C, D, E, and F represent towns, and the edges between those vertices represent roads. And suppose that you want to start traveling from town A, pass through each town exactly once, and then end at town F. List all the different paths that you could take Hin: For instance, one of the paths is A, B, C, E, D, F. (These...
In this question, we will think about how to answer shortest path problems where we have more than just a single sourc...
In this question, we will think about how to answer shortest path problems where we have more than just a single source and destination. Answer each of the following in English (not code or pseudocode). Each subpart requires at most a few sentences to answer. Answers significantly longer than required will not receive full credit You are in charge of routing ambulances to emergency calls. You have k ambulances in your fleet that are parked at different locations, and you...
Consider the following weighted, directed graph G. There are 7 vertices and 10 edges. The edge list E is as follows:
Consider the following weighted, directed graph G. There are 7 vertices and 10 edges. The edge list E is as follows:The Bellman-Ford algorithm makes |V|-1 = 7-1 = 6 passes through the edge list E. Each pass relaxes the edges in the order they appear in the edge list. As with Dijkstra's algorithm, we record the current best known cost D[V] to reach each vertex V from the start vertex S. Initially D[A]=0 and D[V]=+oo for all the other vertices...
a. (15 marks) i (7 marks) Consider the weighted directed graph below. Carry out the steps of Dijkstra's shortest path algorithm as covered in lectures, starting at vertex S. Consequently give the shortest path from S to vertex T and its length 6 A 2 3 4 S T F ii (2 marks) For a graph G = (V, E), what is the worst-case time complexity of the version of Dijkstra's shortest path algorithm examined in lectures? (Your answer should...
Question 1 (1.5 marks) Consider the subnet of the following figure. Shortest Path routing is used, and the weights on each edge is shown. Compute the shortest path from E to D using Dijkstra's algorithm. Show your steps and describe your figures briefly. 4
Question 1 (1.5 marks) Consider the subnet of the following figure. Shortest Path routing is used, and the weights on each edge is shown. Compute the shortest path from E to D using Dijkstra's algorithm. Show...
2. (a) (2 points - Completeness) Dijkstra's Walk-through Dijkstra's algorithm to compute the shortest paths from A to every other node in the given graph Show your steps in the table below. Do this by crossing out old values and writing in new ones as the algorithm proceeds 25 9 7 (D-G) 19 14 (B-E) 4 (A-C) 2 2 (G-H) Vertex Visited Cost Previous (b) (6 points-Correctness) All Vertices, in Order Visited: Visited-= Found the Shortest Path to) (c) (2...
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...
5. Here are the vertices and edges of directed graph G: V= {2.6.c.de.f} E= {ab, ac, af ca. bc. be.bf. cd, ce, de, df). Weights: w(ab) = 2 w(ac) = 5, w(af) = 10, w(ca) = 2. w(be) = 2. w(be) = 10, w(bf) = 11. w(cd)= 9. w(ce) = 7. w(de) = 2. w(df) = 2. a. Draw the Graph. This is a directed, weighted graph so you need to include arrows and weights. You can insert a pic...
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
question 1 and 2 please, thank
you.
1. In the following graph, suppose that the vertices A, B, C, D, E, and F represent towns, and the edges between those vertices represent roads. And suppose that you want to start traveling from town A, pass through each town exactly once, and then end at town F. List all the different paths that you could take Hin: For instance, one of the paths is A, B, C, E, D, F. (These...
In this question, we will think about how to answer shortest path problems where we have more than just a single source and destination. Answer each of the following in English (not code or pseudocode). Each subpart requires at most a few sentences to answer. Answers significantly longer than required will not receive full credit You are in charge of routing ambulances to emergency calls. You have k ambulances in your fleet that are parked at different locations, and you...
Most questions answered within 3 hours.
-
1. What is a “Bankster”? What is insider trading? Why is it
illegal?
2. What is...
asked 13 seconds from now -
Given:
Curent Assets: $600,000
Total Assets: $2,600,000
Current Liabilities: $500,000
Total Liabilities: $1,700,000
What is the...
asked 1 minute ago -
A transverse wave on a cord is given by
D(x,t)=0.18sin(2.7x−61.0t), where Dand x are in m...
asked 6 minutes ago -
ASSIGNMENT
ANSWER ANY TWO OF THE FOLLOWING IN 2-3 PARAGRAPHS OF EACH
QUESTION.
1: Where is...
asked 4 minutes ago -
Question 1 (5 marks)
Studies have shown that the price elasticity for GP
consultations is -0.2...
asked 6 minutes ago -
The owner of 22 restaurants was asked how he does marketing
research. He answered that he...
asked 10 minutes ago -
The premium on a June 17 British pound call option with a strike
price of $1.2560...
asked 26 minutes ago -
We sometimes have to choose between the highest NPV and IRR;
will we not always get...
asked 21 minutes ago -
How do ethical issues affect decision making and what ethical
issues do you see in the...
asked 24 minutes ago -
Calculate the moment
of inertia (in kg·m2) of a skater given the following
information.
(a)
The...
asked 40 minutes ago -
A small body of mass m performs small oscillations sliding (no
rolling) along the bottom of...
asked 43 minutes ago -
The electric field in the region between two oppositely charged,
parallel, conducting plates has a magnitude...
asked 43 minutes ago