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We present a method to study the photometric properties of galaxies infilaments by stacking the galaxy populations between pairs of galaxy clusters.Using Sloan Digital Sky Survey data, this method can detect the inter-clusterfilament galaxy overdensity with a significance of $\sim 5 \sigma$ out to$z=0.40$. Using this approach, we study the $g-r$ color and luminositydistribution of filament galaxies as a function of redshift. Consistent withexpectation, filament galaxies are bimodal in their color distribution andcontain a larger blue galaxy population than clusters. Filament galaxies arealso generally fainter than cluster galaxies. More interestingly, the observedfilament population seems to show redshift evolution at $0.12<z<0.40$: the bluegalaxy fraction has a trend to increase at higher redshift: a filament "ButcherOemler Effect". We test the dependence of the observed filament density on therichness of the cluster pair: richer clusters are connected by higher densityfilaments. We also test the spatial dependence of filament galaxy overdensity:this quantity decreases when moving away from the inter-cluster axis between acluster pair. This method provides an economical way to probe the photometricproperties of filament galaxies and should prove useful for upcoming projectslike the Dark Energy Survey.

Studying Inter-Cluster Galaxy Filaments Through Stacking GMBCG Galaxy Cluster Pairs