By taking advantage of a mapping method which allows an exact solution
of the few-electron case within the extended Hubbard Hamiltonian, the
electron pairing and the hole pairing in a triangular lattice are ana
lyzed by looking at the binding energy and the coherence length. The m
ethod consists on mapping the original many-body problem onto an equiv
alent tight-binding one with impurities in a higher dimensional space,
where the impurity symmetry is considered so as to make the analysis
on a truly large system. A clear pairing asymmetry between the bonding
states and the anti-bonding states is observed; the latter is stronge
r. In addition, the results of the binding energy between holes show a
n asymptotic transition into the behavior of one-dimensional systems i
n the strong-interaction region.