Which of the following graph algorithms is designed specifically to accept negative edge weights? Check all that apply.
a. |
topological sort |
|
b. |
Dijkstra's algorithm |
|
c. |
Bellman-Ford algorithm |
|
d. |
unweighted shortest path algorithm |
(c) Bellman-Ford Algorithm.
Bellaman-Ford Algorithm is specially designed for negative weights which could be done in Dijkstra's algorithm. But it doesn't support negative weight cycle.
Bellman-Ford and Dijkstra work for weighted graphs.
Topological sort works only for acyclic graphs and weights may be negative.
But Bellman-Ford Algorithm is the one which is specifically designed to accept negative edge weights.
Which of the following graph algorithms is designed specifically to accept negative edge weights? Check all...
Wouldn't the Dijkstra algorithm visit the negative edge if the weights were changed as follows; A > B = 1, B > C = 2, A > D = 4? I assume that the algorithm goes as follows, Node A is known, shortest path is to Node B at weight 1, and then it goes to Node C because of the smallest weight being 3, and then it would visit Node D via the negative weighted edge. Dijkstra's Algorithm Shortest...
6. Dijkstra's Algorithm assumes that all edge weights in a given weighted directed graph G = (VAE) are nonnegative. However, if we apply Dijkstra's Algorithm to the graph G where the edge weights may be negative, Dijkstra's Algorithm may produce incorrect answers. Show such an example where Dijkstra's Algorithm may produce incorrect answers. Then, explain why such incorrect answers happen. (15 pts]
Graph Question D Question 1 2 pts Which Graph Algorithm (as described in lecture) relies on a Priority Queue to give it maximum efficiency? Prim's Algorithm ā Dijkstra's Algorithm Kuemmel-Deppeler Algorithm Topological Ordering Algorithm Kruskal's Algorithm D Question 7 2 pts At the beginning of the Dijkstra's Algorithm, which of the following must be done? Select all correct choices. set all total weights to O mark all vertices as unvisited O sort all edges set all predecessors to null D...
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...
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...
1. Use the following graph for the questions. Show all the steps (a) Draw the adjacency matrix and the adjacency list (b) Using the Depth First Search algorithm learned in class, topologically sort the graph. 4 t5 64 (c) Use Dijstra's algorithm to determine the shortest path from node s to all other nodes. (d) Use Bellman-Ford's algorithm to determine the shortest path from node s to all other nodes.
need to solve this indeed Consider the following edge-weighted graph: (a) Implement the above algorithm on the following graph to find the maximal capacity path from vi to V8. (b) Use Dijkstra's algorithm to find the shortest path from vi to v8.
Help with algorithmQuestion Answer the following multiple choice questions about shortest path algorithms For a graph with n vertices and m edges, how many iterations of the Bellman-Ford algorithm need to be run, in the worst case? n+1 m n-1 m+1 How many relax operations are run for each iteration of the algorithm? 1 relax operation m relax operations n relax operations m+n relax operations m+1 relax operations n+1 relax operations
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...
1. Consider a directed graph with distinct and non-negative edge lengths and a source vertex s. Fix a destination vertex t, and assume that the graph contains at least one s-t path. Which of the following statements are true? [Check all that apply.] ( )The shortest (i.e., minimum-length) s-t path might have as many as nā1 edges, where n is the number of vertices. ( )There is a shortest s-t path with no repeated vertices (i.e., a "simple" or "loopless"...