In this article we have generalized Dunn's index and the Davies-Bouldi
n index for cluster validation using graph structures, such as GG, RNG
and MST. Unlike Dunn's index and the Davies-BouIdin index, the propos
ed indices are not sensitive to noisy points and are applicable to hyp
erspherical and structural clusters as well. The relationships between
Various indices have also been established. The effectiveness of the
generalized indices and superiority over some existing cluster validit
y indices are established using eight data sets. (C) 1997 Pattern Reco
gnition Society.