This method is very effective for a small number of vertices for which a full graph is available. Since n vertices will be joined by any spanning tree which has n−1 edges, this method is a simple step‐by‐step procedure which leads to the one with the smallest total distance. Essentially you start with the shortest edge (and any time there is a tie for the shortest edge, choose either one at random). At each stage add in another edge which connects a new point to the connected tree being built up, without completing a cycle and adding the least distance to the total connected distance, i.e. the shortest edge which connects a new vertex without creating a cycle. Once all vertices have been connected, i.e. once n−1 edges have been taken, the minimum connected path will have been found.