We present statistical results of a two-point galaxy-galaxy cross-corr
elation function analysis. These studies use appropriate cuts in redsh
ift and limiting apparent magnitude in the two catalogs explored and p
rovide useful information about the dependence of galaxy luminosity on
local density. We estimate projected two-point cross-correlation func
tions w(r(p)) for samples of center galaxies taken from the Las Campan
as Redshift Survey with different mean luminosities against Edinburgh/
Durham Southern Catalogue L greater than or similar to L galaxies. Po
wer-law best fits for w(r(p)) with center galaxies L > L and L < L* g
ive spatial cross-correlation functions with parameters r(0) similar o
r equal to 5.5 +/- 0.2 h(-1) Mpc, gamma similar or equal to 1.8 +/- 0.
2 and r(0) similar or equal to 3.5 +/- 0.6 h(-1) Mpc, gamma -2.2 +/- 0
.2, respectively. Possible differences among results of studies of clu
stering dependence on luminosity reported in previous works might be d
ominated by systematics because of sample selection effects. Our analy
ses indicate that the statistical properties of the large-scale distri
bution of galaxies depend on intrinsic luminosity, arguing against a u
niversal value of the correlation length. Our results suggest a contin
uous clustering dependence on absolute magnitude, giving support to pr
evious indications that a smaller biasing factor corresponds to low-lu
minosity galaxies.