Two examples of decomposition of complete graphs using rho-labeling [1].
Note: decomp.txt contains the code from decomp.nb since a Mathematica notebook is not a pure text file.
[1] Rosa, A. On certain valuations of the vertices of a graph, Theory of Graphs(Intl. Symp. Rome 1966), Gordon and Breach (Dunod, Paris, 1967), p. 349-355.