Structural properties of incomplete hypercube computers

Incomplete hypercubes are analyzed. The elementary properties of complete hypercubes and a routing algorithm for incomplete hypercubes are briefly reviewed. Structural properties, including diameter, mean message traversal, and traffic density, of incomplete hypercube computers with size 2/sup n/+2/sup k/, 0<or=k<n, are investigated and presented. It is shown that traffic density in such an incomplete hypercube is bounded by two, despite its structural nonhomogeneity. Thus, cube links can easily be constructed so as to avoid any single point of congestion, guaranteeing good performance.<<ETX>>