Global communication algorithms for Cayley graphs

作者: Vance Faber

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摘要: We discuss several combinatorial problems that arise when one looks at computational algorithms for highly symmetric networks of processors. More specifically, we are interested in minimal times associated with four communication tasks (defined more precisely below): universal broadcast, every processor has a vector it wishes to broadcast all the others; accumulation, receive sum vectors being sent by other processors; exchange, exchange each processor; and global summation, wants processors

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