A family of efficient regular arrays for algebraic path problem

The method of decomposing a dependence graph into multiple phases with an appropriate m-phase schedule function is useful for designing faster regular arrays for matrix multiplication and transitive closure. In this paper, we further apply this method to design several parallel algorithms for the algebraic path problem and derive N/spl times/N 2D regular arrays with execution times [9N/2]-2 (for the cylindrical array and the orthogonal one) and 4N-2 (for the spherical one).<
>