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ICPP
1991
IEEE

Emulation of a PRAM on Leveled Networks

9 years 9 months ago
Emulation of a PRAM on Leveled Networks
There is an interesting class of ICNs, which includes the star graph and the n-way shuffle, for which the network diameter is sub-logarithmic in the network size. This paper presents, for the first time, optimal emulations of the CRCW PRAM on the star graph and the n-way shuffle. These results are special cases of a more general result that gives an optimal emulation of the CRCW PRAM on a large class of nonconstant degree leveled networks. We also present an efficient emulation of the CRCW PRAM on a two-dimensional mesh. Although Ranade’s emulation technique can be applied to the mesh to obtain an asymptotically optimal algorithm for emulation of the PRAM, the underlying constant in the time bound will be very large, say 100, making it uninteresting from a practical point of view. In this paper we provide a better emulation algorithm whose time bound is only 4n + o(n). This algorithm also has some nice ‘locality’ properties (e.g. if each request for memory access originates wit...
Michael A. Palis, Sanguthevar Rajasekaran, David S
Added 27 Aug 2010
Updated 27 Aug 2010
Type Conference
Year 1991
Where ICPP
Authors Michael A. Palis, Sanguthevar Rajasekaran, David S. L. Wei
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