Homework Answers
ANSWER:-
BFS:- Traversal order ABCDEFG (take source vertex A)
Explanation:- use queue and find the breadth first search . in queue push first vertex
and pop first vertex and push all vertex which is adjacent from pop vertex . again pop front vertex of the queue and push all adjacent vertex from pop vertex this process continue untill queue is empty.
DFS:- Traversal order ABCDFEG ( take source vertex A)
Explanation:-
use stack and find the depth first search . in stack push first vertex
and scan all vertex which is adjacent from top vertex of stack and push one vertex which is adjacent from top vertex(unvisited) . again scan all vertex which is adjacent from top vertex of stack and push one adjacent vertex which is adjacent from top vertex (unvisited). this process continue untill all vertex visited
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3. Show the BFS& DFS traversal order of the following graph 4 BFS Traversal Order: GFE...
For the following questions, use the graph (starting node: S) below: 14. Show DFS traversal. 15....
For the following questions, use the graph (starting node: S) below: 14. Show DFS traversal. 15. Show BFS traversal. 16. Show the result of a topological sorting of the graph 17. Dijikstra's single source shortest paths for all nodes 18. Show a tabular form soultion of following 0/1 knapsack problem. Value {5,7, 3, 10, 12, 4, 10} Weight {2,3,1,5, 6, 2,4} Total Weight: 12 19. Show a solution to Fractional knapsack problem with the same weight, value, and total weight...
Question 3 (4 marks) For the directed graph below, list the order in which the nine...
Question 3 (4 marks) For the directed graph below, list the order in which the nine nodes are visited during a depth-first (DFS) traversal, as well as the order in which they are visited during a breadth first (BFS) traversal. As always, assume that any ties are resolved by taking nodes in alphabetical order. Write the answers in the boxes given g DFS sequence BFS sequence
/* Graph read from file, and represnted as adjacency list. To implement DFS and BFS on...
/* 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); //...
please I need it urgent thanks algorithms second picture is the graph 2.3 Graphs and BFS-DFS...
please I need it urgent thanks algorithms second
picture is the graph
2.3 Graphs and BFS-DFS 5 points each I. Draw the adjacency matrix for the graph A on the last page. 2. Show the order in which a breadth first traversal will print out the vertices? Assume that if the algorithm has a choice of which vertex to visit, it visits the vertex with the lower number. 3. Find a topological ordering for the graph B on the last...
From the given graph discover the structure of the graph using 1. breadth first search(BFS) a. depth first search(DFS) b. Show the steps and techniques used for each method (20 points) From the...
From the given graph discover the structure of the graph using 1. breadth first search(BFS) a. depth first search(DFS) b. Show the steps and techniques used for each method (20 points)
From the given graph discover the structure of the graph using 1. breadth first search(BFS) a. depth first search(DFS) b. Show the steps and techniques used for each method (20 points)
In Python 3 please Apply Breadth First Search (BFS) to traverse the following graph. Start your...
In Python 3 please
Apply Breadth First Search (BFS) to traverse the following graph. Start your traversal from vertex 0, and write down the order in which vertices will be visited during the traversal. 1 8 6 7 2 9 5 4 3
Please answer all three parts. And show step-by-step answers for each part. Draw anything if necessary....
Please answer all three parts. And show step-by-step
answers for each part. Draw anything if necessary. And
please don't copy other answers to be at risk being downvoted.
Thank you.
Question 1 (50 POINTS): Given a graph G and the Breadth First Search (BFS) and Depth First Search (DFS) traversal algorithms as follows: BFSG) 1 for each vertex u € G.V – {3} 1 2 u.color = WHITE 3 u.d = 0 4 un = NIL 3 5 S.color =...
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...
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....
Show the operation of depth-first search (DFS) on the graph of Figure 1 starting from vertex...
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....
#include <iostream> #include <queue> using namespace std; class Graph { public: Graph(int n); ~Graph(); void addEdge(int...
#include <iostream>
#include <queue>
using namespace std;
class Graph {
public:
Graph(int n);
~Graph();
void addEdge(int src, int tar);
void BFTraversal();
void DFTraversal();
void printVertices();
void printEdges();
private:
int vertexCount;
int edgeCount;
bool** adjMat;
void BFS(int n, bool marked[]);
void DFS(int n, bool marked[]);
};
Graph::Graph(int n=0) {
vertexCount = n;
edgeCount = 0;
if(n == 0)
adjMat = 0;
else {
adjMat = new bool* [n];
for(int i=0; i < n; i++)
adjMat[i] = new bool [n];
for(int i=0;...
For the following questions, use the graph (starting node: S) below: 14. Show DFS traversal. 15. Show BFS traversal. 16. Show the result of a topological sorting of the graph 17. Dijikstra's single source shortest paths for all nodes 18. Show a tabular form soultion of following 0/1 knapsack problem. Value {5,7, 3, 10, 12, 4, 10} Weight {2,3,1,5, 6, 2,4} Total Weight: 12 19. Show a solution to Fractional knapsack problem with the same weight, value, and total weight...
Question 3 (4 marks) For the directed graph below, list the order in which the nine nodes are visited during a depth-first (DFS) traversal, as well as the order in which they are visited during a breadth first (BFS) traversal. As always, assume that any ties are resolved by taking nodes in alphabetical order. Write the answers in the boxes given g DFS sequence BFS sequence
/* 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); //...
please I need it urgent thanks algorithms second
picture is the graph
2.3 Graphs and BFS-DFS 5 points each I. Draw the adjacency matrix for the graph A on the last page. 2. Show the order in which a breadth first traversal will print out the vertices? Assume that if the algorithm has a choice of which vertex to visit, it visits the vertex with the lower number. 3. Find a topological ordering for the graph B on the last...
From the given graph discover the structure of the graph using 1. breadth first search(BFS) a. depth first search(DFS) b. Show the steps and techniques used for each method (20 points)
From the given graph discover the structure of the graph using 1. breadth first search(BFS) a. depth first search(DFS) b. Show the steps and techniques used for each method (20 points)
In Python 3 please
Apply Breadth First Search (BFS) to traverse the following graph. Start your traversal from vertex 0, and write down the order in which vertices will be visited during the traversal. 1 8 6 7 2 9 5 4 3
Please answer all three parts. And show step-by-step
answers for each part. Draw anything if necessary. And
please don't copy other answers to be at risk being downvoted.
Thank you.
Question 1 (50 POINTS): Given a graph G and the Breadth First Search (BFS) and Depth First Search (DFS) traversal algorithms as follows: BFSG) 1 for each vertex u € G.V – {3} 1 2 u.color = WHITE 3 u.d = 0 4 un = NIL 3 5 S.color =...
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....
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....
#include <iostream>
#include <queue>
using namespace std;
class Graph {
public:
Graph(int n);
~Graph();
void addEdge(int src, int tar);
void BFTraversal();
void DFTraversal();
void printVertices();
void printEdges();
private:
int vertexCount;
int edgeCount;
bool** adjMat;
void BFS(int n, bool marked[]);
void DFS(int n, bool marked[]);
};
Graph::Graph(int n=0) {
vertexCount = n;
edgeCount = 0;
if(n == 0)
adjMat = 0;
else {
adjMat = new bool* [n];
for(int i=0; i < n; i++)
adjMat[i] = new bool [n];
for(int i=0;...
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