Parallel Algorithms for Sparse Matrix Multiplication and Join-Aggregate Queries

Xiao Hu, Ke Yi

Abstract: In this paper, we design massively parallel algorithms for sparse matrix multiplication, as well as more general join-aggregate queries, where the join hypergraph is a tree with arbitrary output attributes. For each case, we obtain asymptotic improvement over existing algorithms. In particular, our matrix multiplication algorithm is shown to be optimal in the semiring model.