C program to implement DFS traversal using Adjacency Matrix in a given Graph Last Updated : 13 Jan, 2022 Summarize Comments Improve Suggest changes Share Like Article Like Report Given a undirected graph with V vertices and E edges. The task is to perform DFS traversal of the graph. Examples: Input: V = 7, E = 7Connections: 0-1, 0-2, 1-3, 1-4, 1-5, 1-6, 6-2See the diagram for connections: Output : 0 1 3 4 5 6 2Explanation: The traversal starts from 0 and follows the following path 0-1, 1-3, 1-4, 1-5, 1-6, 6-2. Input: V = 1, E = 0Output: 0Explanation: There is no other vertex than 0 itself. Approach: Follow the approach mentioned below. Initially all vertices are marked unvisited (false).The DFS algorithm starts at a vertex u in the graph. By starting at vertex u it considers the edges from u to other vertices.If the edge leads to an already visited vertex, then backtrack to current vertex u.If an edge leads to an unvisited vertex, then go to that vertex and start processing from that vertex. That means the new vertex becomes the current root for traversal.Follow this process until a vertices are marked visited. Here adjacency matrix is used to store the connection between the vertices. Take the following graph: The adjacency matrix for this graph is: 0110000100111110000010100000010000001000000110000 Below is implementations of simple Depth First Traversal. C // C code to implement above approach #include <stdio.h> #include <stdlib.h> // Globally declared visited array int vis[100]; // Graph structure to store number // of vertices and edges and // Adjacency matrix struct Graph { int V; int E; int** Adj; }; // Function to input data of graph struct Graph* adjMatrix() { struct Graph* G = (struct Graph*) malloc(sizeof(struct Graph)); if (!G) { printf("Memory Error\n"); return NULL; } G->V = 7; G->E = 7; G->Adj = (int**)malloc((G->V) * sizeof(int*)); for (int k = 0; k < G->V; k++) { G->Adj[k] = (int*)malloc((G->V) * sizeof(int)); } for (int u = 0; u < G->V; u++) { for (int v = 0; v < G->V; v++) { G->Adj[u][v] = 0; } } G->Adj[0][1] = G->Adj[1][0] = 1; G->Adj[0][2] = G->Adj[2][0] = 1; G->Adj[1][3] = G->Adj[3][1] = 1; G->Adj[1][4] = G->Adj[4][1] = 1; G->Adj[1][5] = G->Adj[5][1] = 1; G->Adj[1][6] = G->Adj[6][1] = 1; G->Adj[6][2] = G->Adj[2][6] = 1; return G; } // DFS function to print DFS traversal of graph void DFS(struct Graph* G, int u) { vis[u] = 1; printf("%d ", u); for (int v = 0; v < G->V; v++) { if (!vis[v] && G->Adj[u][v]) { DFS(G, v); } } } // Function for DFS traversal void DFStraversal(struct Graph* G) { for (int i = 0; i < 100; i++) { vis[i] = 0; } for (int i = 0; i < G->V; i++) { if (!vis[i]) { DFS(G, i); } } } // Driver code void main() { struct Graph* G; G = adjMatrix(); DFStraversal(G); } Output0 1 3 4 5 6 2 Time Complexity: O(V + E)Auxiliary Space: O(V) Comment More infoAdvertise with us Next Article C program to implement DFS traversal using Adjacency Matrix in a given Graph A abhinandangcs20 Follow Improve Article Tags : Graph C Programs Algo Geek DSA Algo-Geek 2021 DFS +2 More Practice Tags : DFSGraph Similar Reads DSA Tutorial - Learn Data Structures and Algorithms DSA (Data Structures and Algorithms) is the study of organizing data efficiently using data structures like arrays, stacks, and trees, paired with step-by-step procedures (or algorithms) to solve problems effectively. 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