Use Dijkstra’s Shortest Path Algorithm
Use Dijkstra’s Shortest Path Algorithm Example 2- A is the initial vertex: 9 6 2
For Dijkstra’s shortest path algorithm: a. Give the Big-O time for Dijkstra’s shortest path algorithm and explain your answer. b. Does the answer to (a) depend on whether we use an adjacency matrix or list? Explain your answer.
Use Dijkstra’s algorithm to find the shortest path from a to z.
In each case make tables similar to Table 10.7.1 to show the action
of the algorithm.
15. The graph of exercise 9 (shown
above) with a = a and z = f
Note: Please include the table similar to the following format
in the answer.
11 |10 f 12--- C0 0d C1 7/ 7-1 2 all-4 4 |を 35 3 a 4 9
Use Dijkstra's algorithm to determine the shortest path from vertex a to every other vertex in the following graph. Draw your steps on your own draft paper using notation as described in class (you do not need to submit this), then clearly identify and list the following in the text field below: (1) Which edges are included in the SSP; in the format of (vertex1, vertex 2, weight), for example (a, b, 7),(a, c, 9), ... (2) The order and...
PYTHON ONLY Implement the Dijkstra’s Shortest path algorithm in Python. A graph with 10 nodes (Node 0 to node 9) must be implemented. You are supposed to denote the distance of the edges via an adjacency matrix (You can assume the edge weights are either 0 or a positive value). The adjacency matrix is supposed to be a 2-D array and it is to be inputted to the graph. Remember that the adjacency list denotes the edge values for the...
graph B
Use the graph B above to trace the execution of Dijkstra’s
algorithm as it solves the shortest path problem starting from
vertex C. Draw the resulting vertex-weighted graph.
start
Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex A to vertex F. Write your answer as a sequence of nodes separated by commas (no blank spaces) starting with the source node: _______ What's the weight of the shortest path? _______
Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex A to vertex C. Write your answer as a sequence of nodes with no blank spaces or any separators in between, starting with the source node: What's the weight of the shortest path?
In the shortest path routing, what affects its cost? What is unique about Dijkstra’s 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...
2. Apply Dijkstra’s algorithm as discussed in class to solve the single-source shortest-paths problem for the following graph. Consider node a to be the source. (10 points) a. Show the completed table. b. State the shortest path from A to J and state its length. c. State the shortest path from A to K and state its length. d. State the shortest path from A to L and state its length. 3 5 6 4 3 2 1 2. d...