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A large number of data-parallel applications can be represented as computational graphs from theperspective of parallel computing. The nodes of these graphs represent tasks that can be executedconcurrently, while the edges represent the interactions between them. Further, the computationalgraphs derived from many applications are such that the vertices correspond to twoor threedimensionalcoordinates, and the interaction between computations is limited to vertices that arephysically...

Architecture-independent locality-improving transformations of computational graphs embedded in k-dimensions