This article summarizes various ways of constructing large interconnection
networks by performing different graph operations on smaller networks. The
resultant hybrid graphs are classified, their inherent static topological p
roperties are outlined and their relative advantages for multiprocessing ap
plications are illustrated with several well-known networks. One class of h
ybrid graphs defined as compound networks, popularly known by an alternativ
e name as hierarchical networks, is observed to be suitable for multicomput
ers in the current VLSI/WSI environment, as their use reduces network compl
exity, enhances scalability, reliability and fault-tolerance and supports l
ocality of reference.