Merge pull request #354 from Hardvan/connected_components_cpp

Add `ConnectedComponents.cpp`

Author: kelvins

README.md

@@ -652,8 +652,8 @@ In order to achieve greater coverage and encourage more people to contribute to
                 </a>
             </td>
             <td> <!-- C++ -->
-                <a href="./CONTRIBUTING.md">
-                    <img align="center" height="25" src="./logos/github.svg" />
+                <a href="./src/cpp/ConnectedComponents.cpp">
+                    <img align="center" height="25" src="./logos/cplusplus.svg" />
                 </a>
             </td>
             <td> <!-- Java -->

src/cpp/ConnectedComponents.cpp

@@ -0,0 +1,53 @@
+#include <iostream>
+#include <vector>
+
+#define VERTICES 6
+#define INF -1
+
+std::vector<bool> visited(VERTICES, false); // Array to track visited vertices
+int components = 0;
+
+// Adjacency matrix representing the graph
+int matrix[VERTICES][VERTICES] = {{0, INF, 1, INF, INF, INF},
+                                  {INF, 0, INF, 1, 1, INF},
+                                  {1, INF, 0, INF, INF, INF},
+                                  {INF, 1, INF, 0, 1, 1},
+                                  {INF, 1, INF, 1, 0, 1},
+                                  {INF, INF, INF, 1, 1, 0}};
+
+// Recursive method to find connected components using adjacency matrix
+void findConnectedComponents(int current)
+{
+    for (int i = 0; i < VERTICES; i++)
+    {
+        if (!visited[i] && matrix[current][i] == 1)
+        {
+            visited[i] = true;
+            components++;
+            std::cout << "(" << i << ")-";
+            findConnectedComponents(i);
+        }
+    }
+}
+
+int main()
+{
+    // Initialize all vertices as unvisited
+    for (int i = 0; i < VERTICES; i++)
+        visited[i] = false;
+
+    // For each vertex, if it is unvisited, start a DFS and count components
+    for (int i = 0; i < VERTICES; i++)
+    {
+        if (!visited[i])
+        {
+            components = 0;
+            visited[i] = true;
+            std::cout << "Starting at vertex (" << i << ")-";
+            findConnectedComponents(i);
+            std::cout << "\nNumber of connected components starting from vertex " << i << ": " << components << "\n\n";
+        }
+    }
+
+    return 0;
+}