Computing a K-independent set of maximal weight on a partially ordered set: A research case history.
This is a tutorial paper presenting the research carried out on the Sperner-Erdös problem, that is the problem of computing a Maximal Weighted K-Independent Set on a Partially Ordered set. Results are shown in the same order as the research was made: analysis and solution to the Sperner [sub]problem (K=1) and generalisation of this result yielding a polynomial solution to the Sperner-Erdös problem.