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Heterogeneous matrix-matrix multiplication or partitioning a square into rectangles: NP-completeness and approximation algorithms

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5 Author(s)
Beaumont, O. ; LIP, Ecole Normale Superieure de Lyon, France ; Boudet, V. ; Legrand, A. ; Rastello, F.
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In this paper, we deal with two geometric problems arising from heterogeneous parallel computing: how to partition the unit square into p rectangles of given area s1, s2, ..., sp (such that Σi=1p si=1), so as to minimize (i) either the sum of the p perimeters of the rectangles (ii) or the largest perimeter of the p rectangles. For both problems, we prove NP-completeness and we introduce approximation algorithms

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Parallel and Distributed Processing, 2001. Proceedings. Ninth Euromicro Workshop on

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