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Reliability analysis of balanced hypercubes

Authors: Ming-Chien Yang; Ming-Hour Yang;

Reliability analysis of balanced hypercubes

Abstract

The hypercube is a popular interconnection network for multiprocessor systems. The balanced hypercube, denoted by BH n , is a variant of the hypercube network. The balanced hypercube reserves some properties of the hypercube and enhances some other properties of it as well. For a multiprocessor system, the reliability of an interconnection network is a major concern. It is well-known that connectivity is a important measure for the reliability of an interconnection network. In this paper, we study a refined reliability measure, called super connectivity, of the balanced hypercube. We show that the super connectivity of BH n is 4n − 4 for n ≥ 2. That is, at least 4n − 4 vertices need to be removed from BH n to get a disconnected graph which contains no isolated vertex.

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Powered by OpenAIRE graph
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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