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yet included in MST +int minKey(int key[], bool mstSet[]) +{ +// Initialize min value +int min = INT_MAX, min_index; + +for (int v = 0; v < V; v++) + if (mstSet[v] == false && key[v] < min) + min = key[v], min_index = v; + +return min_index; +} + +// A utility function to print the constructed MST stored in parent[] +int printMST(int parent[], int n, int graph[V][V]) +{ +printf("Edge Weight\n"); +for (int i = 1; i < V; i++) + printf("%d - %d %d \n", parent[i], i, graph[i][parent[i]]); +} + +// Function to construct and print MST for a graph represented using adjacency +// matrix representation +void primMST(int graph[V][V]) +{ + int parent[V]; // Array to store constructed MST + int key[V]; // Key values used to pick minimum weight edge in cut + bool mstSet[V]; // To represent set of vertices not yet included in MST + + // Initialize all keys as INFINITE + for (int i = 0; i < V; i++) + key[i] = INT_MAX, mstSet[i] = false; + + // Always include first 1st vertex in MST. + key[0] = 0; // Make key 0 so that this vertex is picked as first vertex + parent[0] = -1; // First node is always root of MST + + // The MST will have V vertices + for (int count = 0; count < V-1; count++) + { + // Pick the minimum key vertex from the set of vertices + // not yet included in MST + int u = minKey(key, mstSet); + + // Add the picked vertex to the MST Set + mstSet[u] = true; + + // Update key value and parent index of the adjacent vertices of + // the picked vertex. Consider only those vertices which are not yet + // included in MST + for (int v = 0; v < V; v++) + + // graph[u][v] is non zero only for adjacent vertices of m + // mstSet[v] is false for vertices not yet included in MST + // Update the key only if graph[u][v] is smaller than key[v] + if (graph[u][v] && mstSet[v] == false && graph[u][v] < key[v]) + parent[v] = u, key[v] = graph[u][v]; + } + + // print the constructed MST + printMST(parent, V, graph); +} + + +// driver program to test above function +int main() +{ +/* Let us create the following graph + 2 3 + (0)--(1)--(2) + | / \ | + 6| 8/ \5 |7 + | / \ | + (3)-------(4) + 9 */ +int graph[V][V] = { + {0, 2, 1, 2}, + {2, 0, 3, 3}, + {1, 3, 0, 4}, + {2, 3, 4, 0} +}; + + + // Print the solution + primMST(graph); + + return 0; +}