Abstract

In this paper, a new interconnection network called the incomplete crossed hypercube is proposed for connecting processors of parallel computing systems. The incomplete crossed hypercube architecture denoted by CI n?m n is made by combining two complete crossed hypercubes CQ n and CQ n?m for 1?m?n. Several topological properties of CI n?m n are analyzed. In particular, accurate mean internode distance formulas of both CQ n and CI n?m n are given. Compared with the incomplete enhanced hypercube EI n?m n , CI n?m n has shorter mean internode distance for large n. An optimal routing algorithm for CI n?m n is also described which guarantees the generation of a shortest path from a node to another in CI n?m n .

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