DFS
b. (Weight: 15%) Perform DFS and BFS based on the following graph: - For BFS, provide...
Show the operation of depth-first search (DFS) on the graph of Figure 1 starting from vertex q. Always process vertices in alphabetical order. Show the discovery and finish times for each vertex, and the classification of each edge. (b) A depth-first forest classifies the edges of a graph into tree, back, forward, and cross edges. A breadth-first search (BFS) tree can also be used to classify the edges reachable from the source of the search into the same four categories....
Execute DFS on the graph below, starting in node a. Whenever you have a choice which vertex to visit next, choose the next vertex in the adjacency list of the vertex (e.g., when you have reached node e, you must first try to visit node f, then g, and then . Indicate the outcome of the algorithm by labeling the edges of the graph either as T (tree edge) F (forward edge), B (back edge), or C (cross edge). Label...
Q2. Show the execution trace of DFS on the following directed graph. You must show discovery time v.d, finish time v.f, and the v.color for each node as the algorithm progresses. Indicate all tree edges, back edges, forward edges, and cross edges when the final DFS forest is constructed. Assume that the edges going out from a vertex are processed in alphabetical order and that each adjacency list is ordered alphabetically.
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...
Consider the following directed graph for each of the problems: 1. Perform a breadth-first search on the graph assuming that the vertices and adjacency lists are listed in alphabetical order. Show the breadth-first search tree that is generated. 2. Perform a depth-first search on the graph assuming that the vertices and adjacency lists are listed in alphabetical order. Classify each edge as tree, back or cross edge. Label each vertex with its start and finish time. 3. Remove all the...
Please help me with 2 (c), thank you!!! Figure 2: 4 10 Figure 3:1 4 Problems 1. Trace BFS on the following graphs. For each vertex, record its color, parent, and distance fields, draw the resulting BFS tree, and determine the order in which vertices are added to the Queue. Process adjacency lists in ascending numerical order. a. The graph in figure 1, with 1 as the source. b. The directed graph in figure 2 with 1 as source. 2....
(a) (15 pts) Do a DFS starting at E, assuming vertices are to be considered in alphabetical order. List each vertex along with their discovery and finish times. Then classify each edge as a tree edge, back edge, forward edge, or cross edge.
/* Graph read from file, and represnted as adjacency list. To implement DFS and BFS on the graph */ #include <iostream> #include <sstream> #include <fstream> #include <vector> #include <utility> #include <unordered_map> #include <set> #include <queue> using namespace std; // Each vertex has an integer id. typedef vector<vector<pair<int,int>>> adjlist; // Pair: (head vertex, edge weight) adjlist makeGraph(ifstream& ifs); void printGraph(const adjlist& alist); vector<int> BFS(const adjlist& alist, int source); // Return vertices in BFS order vector<int> DFS(const adjlist& alist, int source); //...
3. Show the BFS& DFS traversal order of the following graph 4 BFS Traversal Order: GFE DCE DFS Traversal Order 4. Given a 0/1 Knapsack of 5 objects, (Capacity M=11), value-6, 4,7, 2, 3), weig 4 36. 1 Snecify the highest yaluel combination of objects that can fit in the
Run BFS on the graph above starting from vertex 0 and list the vertices in order of their first visit.. Assume the adjacency list is in descending sorted order based on the label of the vertices. For example, when iterating through the edges pointing from 0, first consider the edge 0 → 6, then 0 → 3, and finally 0 → 1. راه من . 3 و 10 5