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Create a program to represent a graph using an adjacency Matrix and perform Depth-First Search (DFS) to systematically visit all vertices.

CODE:


 #include <iostream>

#include <vector>

#include <stack>


using namespace std;


class Graph {

private:

    int numVertices;

    vector<vector<int>> adjacencyMatrix;


public:

    Graph(int n) : numVertices(n) {

        adjacencyMatrix.resize(numVertices, vector<int>(numVertices, 0));

    }


    void addEdge(int u, int v) {

        adjacencyMatrix[u][v] = 1;

        adjacencyMatrix[v][u] = 1; // Assuming undirected graph

    }


    void DFS(int startVertex) {

        vector<bool> visited(numVertices, false);

        stack<int> stack;


        visited[startVertex] = true;

        stack.push(startVertex);


        cout << "Depth First Search starting from vertex " << startVertex << ": ";


        while (!stack.empty()) {

            int currentVertex = stack.top();

            stack.pop();

            cout << currentVertex << " ";


            for (int i = 0; i < numVertices; ++i) {

                if (adjacencyMatrix[currentVertex][i] && !visited[i]) {

                    visited[i] = true;

                    stack.push(i);

                }

            }

        }

        cout << endl;

    }

};


int main() {

    Graph g(6); // Change the value to the number of vertices in your graph


    g.addEdge(0, 1);

    g.addEdge(0, 2);

    g.addEdge(1, 3);

    g.addEdge(1, 4);

    g.addEdge(2, 4);

    g.addEdge(3, 5);

    g.addEdge(4, 5);


    g.DFS(0);


    return 0;

}



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