J. Blot et al., AVERAGE-CASE ANALYSIS OF GREEDY ALGORITHM S FOR OPTIMIZATION PROBLEMSON SET SYSTEMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(6), 1995, pp. 805-808
We present a general setting for the asymptotic analysis of greedy alg
orithms for several optimization problems defined on random set system
s, when the size ground set-size set system ratio remains constants. T
he set systems are generated via bipartite graphs and the approximatio
n of the Markov chains are performed using ordinary differential equat
ions.