Article ID Journal Published Year Pages File Type
4630040 Applied Mathematics and Computation 2012 6 Pages PDF
Abstract

The reliability of an interconnection network is an important issue for multiprocessor systems. In this paper, we study a reliability measure, called super connectivity, in the balanced hypercube BHnBHn, which is a variant of the hypercube. We show that the super connectivity of BHnBHn is 4n-44n-4 and the super edge-connectivity of BHnBHn is 4n-24n-2 for n⩾2n⩾2. That is, to become a disconnected graph containing no isolated vertex, we need to remove at least 4n-44n-4 vertices (resp. 4n-24n-2 edges) from BHnBHn.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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