1. Apparatus for performing collective reductions, broadcasts, and point-to-point message passing during parallel algorithm operations executing in a computing structure comprising a plurality of processing nodes, said apparatus comprising: a global collective network including routing devices interconnecting said nodes in a network configuration, said network configuration including one or more virtual networks thereof, said global collective network enabling global processing operations including global broadcast operations, global reduction operations, and point-to-point message passing; wherein said global collective network and routing device configuration provide low-latency communications in said computing structure.