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// A Java program for Prim's Minimum Spanning Tree (MST) algorithm.
//adjacency matrix representation of the graph
import java.lang.*;
class PrimMST
{
// Number of vertices in the graph
private static final int V=5;
// A utility function to find the vertex with minimum key
// value, from the set of vertices not yet included in MST
int minKey(int key[], Boolean mstSet[])
{
// Initialize min value
int min = Integer.MAX_VALUE, min_index=-1;
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[]
void printMST(int parent[], int n, int graph[][])
{
System.out.println("Edge Weight");
for (int i = 1; i < V; i++)
System.out.println(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[][])
{
// Array to store constructed MST
int parent[] = new int[V];
// Key values used to pick minimum weight edge in cut
int key[] = new int [V];
// To represent set of vertices not yet included in MST
Boolean mstSet[] = new Boolean[V];
// Initialize all keys as INFINITE
for (int i = 0; i < V; i++)
{
key[i] = Integer.MAX_VALUE;
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 thd 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]!=0 && mstSet[v] == false &&
graph[u][v] < key[v])
{
parent[v] = u;
key[v] = graph[u][v];
}
}
// print the constructed MST
printMST(parent, V, graph);
}
public static void main (String[] args)
{
/* Let us create the following graph
2 3
(0)--(1)--(2)
| / \ |
6| 8/ \5 |7
| / \ |
(3)-------(4)
9 */
PrimMST t = new PrimMST();
int graph[][] = new int[][] {{0, 2, 0, 6, 0},
{2, 0, 3, 8, 5},
{0, 3, 0, 0, 7},
{6, 8, 0, 0, 9},
{0, 5, 7, 9, 0},
};
// Print the solution
t.primMST(graph);
}
}
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