The following algorithm checks the connectedness of graphs. S-1: Set H=G and component count c=1. S-2 : Choose an arbitrary vertex v of G. S3 : Fuse all vertices in the neighbourhood N(v) with v and call this vertex v. S4 : If the number of vertices which are non-adjacent to v is the same as that before fusion, then go to Step-5. Otherwise, go to Step-2. S-5 : Delete the vertex v (with all fused vertex) from H call this new graph H. S-6 : If H has any vertex left in it, then let cc+1 and go to Step-2. Otherwise, go to Step-7. S-7 : Print each c with its vertices. Stop