On the topological compatibility of parallel tasks and computing systems.

The aspects of topological compatibility of parallel computing systems and tasks are investigated in the present contribution. Based on the original topological model of parallel computations and on the unconventional graph description by its projections, the introduction of appropriate indexes is proposed and elucidated. On the example of hypercubic computing system (CS) and tasks with ring and star information topologies, we demonstrate the determination of indexes and their use in a comparative analysis of the applicability of interconnect with a given topology to solve the tasks with the same and different types of information topologies. [ABSTRACT FROM AUTHOR]