In this paper, we study the permutation packet routing problem on tree
s. We show that every permutation can be routed on a tree of n vertice
s in n - 1 routing steps. We provide two algorithms that produce such
routing schedules. The first algorithm builds in O(n(2)) time a schedu
le that needs O(n(2)) bits for its description while the second one pr
oduces in O(n(3)) time a schedule that can be described with O(n log n
) bits.