One can also simulate other parallel sorting algorithms
or network routing methods, but these don’t lead to simple
time-optimal data-oblivious sequential sorting algorithms.
For example, the online routing method of Arora et al. [2]
is time-optimal but not data-oblivious, as are the PRAM
sorting algorithms of Shavit et al. [44], Cole [9], Reif [38],
and Goodrich and Kosaraju [18]. The shear-sort algorithm of
Scherson and Sen [40] is simple and data-oblivious but not
time-optimal. The columnsort algorithm of Leighton [26]
and the sorting method of Maggs and V¨ocking [28] are
asymptotically fast, but they both employ the AKS network;
hence, they are not simple.