We present randomized hot-potato routing algorithms on d-dimensional m
eshes and on the n-dimensional hypercube. The algorithms are designed
for routing many packets to a single destination, or a relatively smal
l number of destinations. The important feature, which was not obtaine
d previously, is that the algorithms utilize the higher in-degree of t
he nodes and are asymptotically optimal. (C) 1997 Academic Press.