  We examine the origins of the bimodality observed in the global properties of
galaxies around a stellar mass of 3x10^10 M_sun by comparing the environmental
dependencies of star-formation for the giant and dwarf galaxy populations. The
Sloan Digital Sky Survey DR4 spectroscopic dataset is used to produce a sample
of galaxies in the vicinity of the supercluster centered on the cluster A2199
at z=0.03 that is ~90% complete to a magnitude limit of M*+3.3. From these we
measure global trends with environment for both giant (M_r<-20 mag) and dwarf
(-19<M_r<-17.8 mag) subsamples using the luminosity-weighted mean stellar age
and H_alpha emission as independent measures of star-formation history. The
fraction of giant galaxies classed as old (t>7 Gyr) or passive (EW[H_alpha]<4
A) falls gradually from ~80% in the cluster cores to ~40% in field regions
beyond 3-4 R_virial, as found in previous studies. In contrast, we find that
the dwarf galaxy population shows a sharp transition at ~1 R_virial, from being
predominantly old/passive within the cluster, to outside where virtually all
galaxies are forming stars and old/passive galaxies are only found as
satellites to more massive galaxies. These results imply fundamental
differences in the evolution of giant and dwarf galaxies: whereas the
star-formation histories of giant galaxies are determined primarily by their
merger history, star-formation in dwarf galaxies is much more resilient to the
effects of major mergers. Instead dwarf galaxies become passive only once they
become satellites within a more massive halo, by losing their halo gas
reservoir to the host halo, or through other environment-related processes such
as galaxy harassment and/or ram-pressure stripping.
