The budding yeast {\it Saccharomyces cerevisiae} is the first eukaryote whose
genome has been completely sequenced. It is also the first eukaryotic cell
whose proteome (the set of all proteins) and interactome (the network of all
mutual interactions between proteins) has been analyzed. In this paper we study
the structure of the yeast protein complex network in which weighted edges
between complexes represent the number of shared proteins. It is found that the
network of protein complexes is a small world network with scale free behavior
for many of its distributions. However we find that there are no strong
correlations between the weights and degrees of neighboring complexes. To
reveal non-random features of the network we also compare it with a null model
in which the complexes randomly select their proteins. Finally we propose a
simple evolutionary model based on duplication and divergence of proteins.Comment: 19 pages, 9 figures, 1 table, to appear in Euro. Phys. J.