We study empirically the time evolution of scientific collaboration network
s in physics and biology. In these networks, two scientists are considered
connected if they have coauthored one or more papers together. We show that
the probability of a pair of scientists collaborating increases with the n
umber of other collaborators they have in common, and that the probability
of a particular scientist acquiring new collaborators increases with the nu
mber of his or her past collaborators. These results provide experimental e
vidence in favor of previously conjectured mechanisms for clustering and po
wer-law degree distributions in networks.