The hole-pairing problem at the dilute limit on low-dimensional bipart
ite and non-bipartite lattices is studied by means of the generalized
Hubbard model. in which on-site (U), nearest-neighbor (V), and assiste
d-hopping (Delta t) terms are considered. The problem is addressed by
mapping the original many-body problem onto a tight-binding one in a h
igher-dimensional space. It is found that there is a small region arou
nd Delta t/t(0) = 0.5, where the pairing of holes is enhanced and non-
pairing of electrons exists. Pairing phase diagrams are analyzed for l
inear, square and triangular lattices, in comparison with those result
s obtained from the extended Hubbard model. (C) 1998 Elsevier Science
B.V. All rights reserved.