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It has been shown that no parallel algorithms for the problem can scale well with the increase in processors used [26].
For such algorithms, with the increase in processors also come higher communication costs, not to mention skewed graphs, skewed workload, start-up costs and interference when processors compete for, e.g., network bandwidth.
Nonetheless, a parallel algorithm is developed in [89] that is able to find a set (L_k) of top-k diversified (mathsf {GPARs}) such that (L_k) has approximation ratio 2, and moreover, it is parallel scalable with the increase in processors under practical conditions.
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This has an effect on reduction in interconnection network complexity, instruction fetch and decode energy requirements, and can allow for increase in processor clock frequency.
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The major opportunities for significant performance gains and ability to handle large datasets lie in the increasing availability of multicore processors and clusters built with off-the-shelf components [26] [29], as the rate of increase in processor speed has slowed down significantly in the last five years.
Formanyyears,thedrivetowards computationalphysics studiesthatmatchthesizeand time-scalesofexperiment has been fueled by increases in processor and interconnect performance that could be exploited with relatively little modification to existing codes.
The results show that as increase in the processors number, the computing time of the algorithm falls dramatically.
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