Incomplete crossed hypercubes |
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Authors: | Yan-Qing Zhang Yi Pan |
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Affiliation: | 1.Department of Computer Science,Georgia State University,Atlanta,USA |
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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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Keywords: | |
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