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A fast algorithm for complete subcube recognition

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2 Author(s)
H. J. Burch ; Dept. of Comput. Sci., Carnegie Mellon Univ., Pittsburgh, PA, USA ; F. Ercal

The complete subcube recognition problem is defined as, given a collection of available processors on an n-dimensional hypercube, locate a subcube of dimension k that consists entirely of available processors, if one exists. Despite many algorithms proposed so far on this subject, improving the time complexity of this problem remains a challenge. Efficiency limits that can be reached have not been exhausted yet. This paper proposes a novel algorithm to recognize all the overlapping subcubes available on an n-dimensional hypercube whose processors are partially allocated. Given P=2n, as the total number of processors in the hypercube, the new algorithm runs in O(n-3n) or O(P(log2) 3log2 P) time which is an improvement over previously proposed strategies, such as multiple-graycode, missing combination, maximal set of subcubes, and tree collapsing

Published in:

Parallel Architectures, Algorithms, and Networks, 1997. (I-SPAN '97) Proceedings., Third International Symposium on

Date of Conference:

18-20 Dec 1997