Coding Recipies: Max Spacing for K-order Cluster


Coding Recipies: Max Spacing for K-order Cluster
Find maximum spacing of a K-clustering of the given Graph (in the given below eg. K=4)
For solving this problem Kruskal Algorithm will be applied , which picks the minimum edges to connect to every vertex and finally in the end generates a MST , but in the process of picking up edges we need to ensure that no cycles are formed , and that we would use the UNION-FIND data structure. Here in this problem we will terminate the process of connecting vertices as soon as out K clusters are formed. Max space between the cluster will be given by the edge that would have actully
decreased the number of clusters to K-1.

public int getMaxSpacing(int clusterCount)
 {

  Collections.sort(mEdgeList);

  UnionFind uf=new UnionFind(mNumVertices);

  if(clusterCount > uf.getCount())  {
   try {
    throw new Exception("Cluster counter is lesser than input");
   }
   catch (Exception e) {
    System.out.println(e.getMessage());
   }
  }

  else
  {
   for(int i=0;i<mNumVertices;i++)
   {
    Edge edge=mEdgeList.get(i);

    // if parents do not match, consider edge list for MST and , union the two vertex
    if(!uf.isConnected(edge.src, edge.dest))
    {
     if(uf.getCount()==clusterCount)
     {
      uf.printCluster1();
      return maxClusterDistance=edge.weight;
     }
      

     int v1 = uf.Find(edge.src);  //parent vertex for source
     int v2 = uf.Find(edge.dest); //parent vertex for destinition
     uf.Union(v1, v2);
    }
   }
  }
  return -1;
 }
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