... Buratti, Electron. J. Combin., 16 (2009),# R20.[2] J. H. Dinitz, S. R. Janiszewski, On Hamiltonian Paths with Prescribed edge lengths in the Complete Graph, Bull. Inst. Combin. Appl., to appear.the ... importance for linear realizations to be perfect in view of possibleproofs by induction, we think it appropriate to emphasize the following results.Proposition 4.7 There exist perfect linear realizations ... smallest element in the next class is1. After which it is impossible to describe the remaining class, using ±2. If we choose−1 then the smallest element in the next class is 2, and again we find it...