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class Graph: def __init__(self, size): self.adj_matrix = [[0] * size for _ in range(size)] self.size = size self.vertex_data = [''] * size def add_edge(self, u, v): if 0 <= u < self.size and 0 <= v < self.size: self.adj_matrix[u][v] = 1 #self.adj_matrix[v][u] = 1 def add_vertex_data(self, vertex, data): if 0 <= vertex < self.size: self.vertex_data[vertex] = data def print_graph(self): print("Adjacency Matrix:") for row in self.adj_matrix: print(' '.join(map(str, row))) print("\nVertex Data:") for vertex, data in enumerate(self.vertex_data): print(f"Vertex {vertex}: {data}") def dfs_util(self, v, visited): visited[v] = True print(self.vertex_data[v], end=' ') for i in range(self.size): if self.adj_matrix[v][i] == 1 and not visited[i]: self.dfs_util(i, visited) def dfs(self, start_vertex_data): visited = [False] * self.size start_vertex = self.vertex_data.index(start_vertex_data) self.dfs_util(start_vertex, visited) def bfs(self, start_vertex_data): queue = [self.vertex_data.index(start_vertex_data)] visited = [False] * self.size visited[queue[0]] = True while queue: current_vertex = queue.pop(0) print(self.vertex_data[current_vertex], end=' ') for i in range(self.size): if self.adj_matrix[current_vertex][i] == 1 and not visited[i]: queue.append(i) visited[i] = True g = Graph(7) g.add_vertex_data(0, 'A') g.add_vertex_data(1, 'B') g.add_vertex_data(2, 'C') g.add_vertex_data(3, 'D') g.add_vertex_data(4, 'E') g.add_vertex_data(5, 'F') g.add_vertex_data(6, 'G') g.add_edge(3, 0) # D -> A g.add_edge(3, 4) # D -> E g.add_edge(4, 0) # E -> A g.add_edge(0, 2) # A -> C g.add_edge(2, 5) # C -> F g.add_edge(2, 6) # C -> G g.add_edge(5, 1) # F -> B g.add_edge(1, 2) # B -> C g.print_graph() print("\nDepth First Search starting from vertex D:") g.dfs('D') print("\n\nBreadth First Search starting from vertex D:") g.bfs('D') #Python
#include
#include
#include
typedef struct { int **adj_matrix; char *vertex_data; int size; } Graph; Graph* create_graph(int size) { Graph *g = malloc(sizeof(Graph)); g->size = size; g->adj_matrix = malloc(size * sizeof(int *)); for (int i = 0; i < size; i++) { g->adj_matrix[i] = calloc(size, sizeof(int)); } g->vertex_data = malloc(size * sizeof(char)); return g; } void add_edge(Graph *g, int u, int v) { if (u >= 0 && u < g->size && v >= 0 && v < g->size) { g->adj_matrix[u][v] = 1; // g->adj_matrix[v][u] = 1; } } void add_vertex_data(Graph *g, int vertex, char data) { if (vertex >= 0 && vertex < g->size) { g->vertex_data[vertex] = data; } } void print_graph(Graph *g) { printf("Adjacency Matrix:\n"); for (int i = 0; i < g->size; i++) { for (int j = 0; j < g->size; j++) { printf("%d ", g->adj_matrix[i][j]); } printf("\n"); } printf("\nVertex Data:\n"); for (int i = 0; i < g->size; i++) { printf("Vertex %d: %c\n", i, g->vertex_data[i]); } } // Utility function for DFS void dfs_util(Graph *g, int v, bool *visited) { visited[v] = true; printf("%c ", g->vertex_data[v]); for (int i = 0; i < g->size; i++) { if (g->adj_matrix[v][i] == 1 && !visited[i]) { dfs_util(g, i, visited); } } } // Depth-First Search void dfs(Graph *g, char start_vertex_data) { bool *visited = calloc(g->size, sizeof(bool)); int start_vertex = -1; for (int i = 0; i < g->size; i++) { if (g->vertex_data[i] == start_vertex_data) { start_vertex = i; break; } } if (start_vertex != -1) { dfs_util(g, start_vertex, visited); } free(visited); } // Breadth-First Search void bfs(Graph *g, char start_vertex_data) { bool *visited = calloc(g->size, sizeof(bool)); int *queue = malloc(g->size * sizeof(int)); int front = 0, rear = 0; int start_vertex = -1; for (int i = 0; i < g->size; i++) { if (g->vertex_data[i] == start_vertex_data) { start_vertex = i; break; } } if (start_vertex != -1) { queue[rear++] = start_vertex; visited[start_vertex] = true; while (front < rear) { int current_vertex = queue[front++]; printf("%c ", g->vertex_data[current_vertex]); for (int i = 0; i < g->size; i++) { if (g->adj_matrix[current_vertex][i] == 1 && !visited[i]) { queue[rear++] = i; visited[i] = true; } } } } free(queue); free(visited); } void free_graph(Graph *g) { for (int i = 0; i < g->size; i++) { free(g->adj_matrix[i]); } free(g->adj_matrix); free(g->vertex_data); free(g); } int main() { Graph *g = create_graph(7); add_vertex_data(g, 0, 'A'); add_vertex_data(g, 1, 'B'); add_vertex_data(g, 2, 'C'); add_vertex_data(g, 3, 'D'); add_vertex_data(g, 4, 'E'); add_vertex_data(g, 5, 'F'); add_vertex_data(g, 6, 'G'); add_edge(g, 3, 0); // D -> A add_edge(g, 3, 4); // D -> E add_edge(g, 4, 0); // E -> A add_edge(g, 0, 2); // A -> C add_edge(g, 2, 5); // C -> F add_edge(g, 2, 6); // C -> G add_edge(g, 5, 1); // F -> B add_edge(g, 1, 2); // B -> C print_graph(g); printf("\nDepth First Search starting from vertex D:\n"); dfs(g, 'D'); printf("\n\nBreadth First Search starting from vertex D:\n"); bfs(g, 'D'); free_graph(g); return 0; } //C
public class Main { static class Graph { private int[][] adjMatrix; private String[] vertexData; private int size; public Graph(int size) { this.size = size; this.adjMatrix = new int[size][size]; this.vertexData = new String[size]; } public void addEdge(int u, int v) { if (u >= 0 && u < size && v >= 0 && v < size) { adjMatrix[u][v] = 1; // adjMatrix[v][u] = 1; } } public void addVertexData(int vertex, String data) { if (vertex >= 0 && vertex < size) { vertexData[vertex] = data; } } public void printGraph() { System.out.println("Adjacency Matrix:"); for (int[] row : adjMatrix) { for (int val : row) { System.out.print(val + " "); } System.out.println(); } System.out.println("\nVertex Data:"); for (int i = 0; i < size; i++) { System.out.println("Vertex " + i + ": " + vertexData[i]); } } private void dfsUtil(int v, boolean[] visited) { visited[v] = true; System.out.print(vertexData[v] + " "); for (int i = 0; i < size; i++) { if (adjMatrix[v][i] == 1 && !visited[i]) { dfsUtil(i, visited); } } } public void dfs(String startVertexData) { boolean[] visited = new boolean[size]; int startVertex = findVertexIndex(startVertexData); dfsUtil(startVertex, visited); } public void bfs(String startVertexData) { int[] queue = new int[size]; int queueStart = 0, queueEnd = 0; boolean[] visited = new boolean[size]; int startVertex = findVertexIndex(startVertexData); queue[queueEnd++] = startVertex; visited[startVertex] = true; while (queueStart < queueEnd) { int currentVertex = queue[queueStart++]; System.out.print(vertexData[currentVertex] + " "); for (int i = 0; i < size; i++) { if (adjMatrix[currentVertex][i] == 1 && !visited[i]) { queue[queueEnd++] = i; visited[i] = true; } } } } private int findVertexIndex(String data) { for (int i = 0; i < size; i++) { if (vertexData[i].equals(data)) { return i; } } return -1; } } public static void main(String[] args) { Graph g = new Graph(7); g.addVertexData(0, "A"); g.addVertexData(1, "B"); g.addVertexData(2, "C"); g.addVertexData(3, "D"); g.addVertexData(4, "E"); g.addVertexData(5, "F"); g.addVertexData(6, "G"); g.addEdge(3, 0); // D -> A g.addEdge(3, 4); // D -> E g.addEdge(4, 0); // E -> A g.addEdge(0, 2); // A -> C g.addEdge(2, 5); // C -> F g.addEdge(2, 6); // C -> G g.addEdge(5, 1); // F -> B g.addEdge(1, 2); // B -> C g.printGraph(); System.out.println("\nDepth First Search starting from vertex D:"); g.dfs("D"); System.out.println("\n\nBreadth First Search starting from vertex D:"); g.bfs("D"); } } //Java
Python result:
C result:
Java result:
Adjacency Matrix:
0 0 1 0 0 0 0
0 0 1 0 0 0 0
0 0 0 0 0 1 1
1 0 0 0 1 0 0
1 0 0 0 0 0 0
0 1 0 0 0 0 0
0 0 0 0 0 0 0
Vertex Data:
Vertex 0: A
Vertex 1: B
Vertex 2: C
Vertex 3: D
Vertex 4: E
Vertex 5: F
Vertex 6: G
Depth First Search starting from vertex D:
D A C F B G E
Breadth First Search starting from vertex D:
D A E C F G B
Adjacency Matrix:
0 0 1 0 0 0 0
0 0 1 0 0 0 0
0 0 0 0 0 1 1
1 0 0 0 1 0 0
1 0 0 0 0 0 0
0 1 0 0 0 0 0
0 0 0 0 0 0 0
Vertex Data:
Vertex 0: A
Vertex 1: B
Vertex 2: C
Vertex 3: D
Vertex 4: E
Vertex 5: F
Vertex 6: G
Depth First Search starting from vertex D:
D A C F B G E
Breadth First Search starting from vertex D:
D A E C F G B
Adjacency Matrix:
0 0 1 0 0 0 0
0 0 1 0 0 0 0
0 0 0 0 0 1 1
1 0 0 0 1 0 0
1 0 0 0 0 0 0
0 1 0 0 0 0 0
0 0 0 0 0 0 0
Vertex Data:
Vertex 0: A
Vertex 1: B
Vertex 2: C
Vertex 3: D
Vertex 4: E
Vertex 5: F
Vertex 6: G
Depth First Search starting from vertex D:
D A C F B G E
Breadth First Search starting from vertex D:
D A E C F G B