Deterministic Integer Sorting on the Parallel External Memory Model.

We present a deterministic parallel external-memory (PEM) algorithm that sorts N integers from {1,2,… ,l} . The algorithm sorts N integers from [1, l] in O( log l/log m( M/B + log _M/BN/B) ) parallel steps and O( N/B·log l/log (M/B)) I/O operations. on the Concurrent Read Exclusive Write PEM model. (Here M is the size of the internal main memory of processors and B is the block size for I/Os.)