The discrete coagulation-fragmentation equations are a model for the kinetics of
cluster growth in which clusters can coagulate via binary interactions to form
larger clusters or fragment to form smaller ones. The assumptions made on the
fragmentation coefficients have the physical interpretation that surface effects
are important. Our results on the asymptotic behavior of solutions generalize
the corresponding results of Ball, Carr, and Penrose for the Becket-Doting
equation.