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Published in:
2012 | OriginalPaper | Chapter
The Hamilton Path in Faulty Enhanced Hypercube
Authors : Hongmei Liu, Yingying Liu
Published in: Recent Advances in Computer Science and Information Engineering
Publisher: Springer Berlin Heidelberg
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So far, the enhanced hypercube
${\mathcal Q}_{\rm n,k}$
, where
n
,
k
are positive integers with 1≤
k
≤
n
–1, is one of the most versatile and efficient interconnection networks (networks for short) for parallel computation. In this paper, the properties related to connectivity in faulty
${\mathcal Q}_{n,k}$
have been investigated through the analysis of the topological structure of
n
-dimensional enhanced hypercube
${\mathcal Q}_{n,k}$
. This study demonstrates that in certain conditions, for any two different vertices there exists a hamilton path connecting
x
and
y
. Consequently the enhanced hypercubes are superior in safety.