Abstract-Laser communications systems offer numerous advantages over radio-based systems as a result of the small beam divergence angles and large antenna gains. These advantages are especially pronounced in space-to-space applications where compact hardware can deliver high bandwidth communications spanning large distances with small power. However, the extreme beam directivity makes the design of the lasercom acquisition, pointing and tracking (APT) system especially burdensome. This paper demonstrates how the APT system in turn impacts the topology of a multiple satellite laser communications network. Advanced concepts are proposed that promise enhanced connectivity (and consequently yield improved communications performance and survivability) while allowing cost-effective adaptive sharing of the lasercom resources.