Question 2 Show the strongly connected components of the graph below. Mark the edges that comprise...
ignore red marks. Thanks 10. (16) You will compute the strongly connected components of this graph in three steps. a. STRONGLY-CONNECTED-COMPONENTS (G) (7) Perform a depth-first search on call DFS(G) to compute finishing times w/ for each vertex the following graph. (To make 2 compute GT this easier to grade, everyone call DFS(GT), but in the main loop of DFS, consider the vertices in order of decreasing wf (as computed in line 1) please start with vertex "a" and 4...
1) Suppose that a directed graph contains the following edges. Find the strongly connected components. {(h, i), (i, j), (j, k), (k, h), (l, m), (m, n), (n, p), (p, l), (f, i), (c, e), (j, b), (k, l), (a, b), (b, c), (c, a), (d, e), (e, f), (f, g), (g, d)}. a) How many vertices are there in the component having the smallest number of vertices? b) How many vertices are there in the component having the second...
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...
Data Structures/Automata/Graph Theory Question: Problem 1 Find the strongly connected components of the graph shown on Figure1 Figure 1:
The number of strongly connected components in graph G is k. By how much can this number change if we add a new edge?
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?...
(8 points) Consider the graph shown below. If the graph is orientable, the orient the edges so that the resulting digraph is strongly connected. If it is not orientable, then briefly explain why. A E D F B H с
Draw a simple undirected graph G that has 12 vertices, 18 edges, and 3 connected components. Why would it be impossible to draw G with 3 connected components if G has 66 edges?
A forest contains 23 vertices and 20 edges. How many connected components does the graph have?
10. Graphs (2 points) Determine the following for the graph G: a) List the strongly connected components in G: b) Give the adjacency matrix representation for this graph. a bcd e f