Identify an algorithm for determining if a digraph is strongly connected.
Identify an algorithm for determining if a digraph is strongly connected.
Can someone help me with (i), the first diagram? 3.4. Run the strongly connected components algorithm on the following directed graphs G. When doing DFS on GR: whenever there is a choice of vertices to explore, always pick the one that is alphabetically first. S. Dasgupta, C.H. Papadimitriou, and UV. Vazirani 107 In each case answer the following questions. (a) In what order are the strongly connected components (SCCs) found? (b) Which are source SCCs and which are sink SCCs?...
13. (10 points) Apply dijkstra's algorithm to the digraph shown below in order to find the shortest path from S to T. A BE 7 8 E 3 00 5 4 S 6 T 9 9 D
Question 4 3 pts Apply the source-removal algorithm to the digraph shown below. a b с d e g Edit Insert Format Tools Table 12pt Paragraph B I U A
PRINCETON UNIVERSITY 12. Algorithm design. (8 points) Given an edge-weighted digraph G the bottleneck capacity of a path is the minimum weight of an edge on the path. For each part elow, give a crisp and concise English description of your algorithm in the space provided. Your ansuer will be graded on correctness, eficieney, clarity, and conciseness (a) Given an edge-weighted digraph G, two distinguished vertices s and t, and a threshold value T, design an algorithm to find any...
NAME . You are given a strongly connected directed graph G (V, E) with positive edge weights along with a particular node vo E V. Give an efficient algorithm for finding shortest paths between all pairs of nodes, with the one restriction that these paths must all pass through v (8 points)
Identify the vertices of the cycle in the digraph. B C A E B, D, E, C B, E, C A, B, D A, D, E, C, B
Question 2 Show the strongly connected components of the graph below. Mark the edges that comprise the strongly connected components.
Problem 3 (15 points) Consider the graph shown on the right. Find the strongly connected components of the graph. For full credit, a) (6 points) Run DFS on the reverse graph, showing the discovery and finish times of each 10 vertex. b) (6 points) Run DFS again, to discover the strongly connected components. What is the 15 order the components are discovered? 12 c) (3 points) Draw the DAG of the components. What is the minimum number of edges that...
In Java: We say that a graph G is strongly-connected if, for every pair of vertices i and j in G, there is a path from i to j. Showhowtotest if G is strongly-connected in O(n + m) time. . Write a method and test it in Main. Explain why it is O(n+m). Graph is directed
(A) Consider the following algorithm for computing a topological sort of a DAG G: add the vertices to an initially empty list in non-decreasing order of their indegrees. Either argue that the algorithm correctly computes a topological sort of G, or provide an example on which the algorithm fails. (B) Can the number of strongly connected components of a graph decrease if a new edge is added? Why or why not? Can it increase? Why or why not? (C) What...