Timestamps are considered for distributed environments in which inform
ation flow is restricted to one direction through a planar lattice imp
osed on a network. For applications in such networks, existing timesta
mping algorithms require extension and modification. For example, in s
ecure environments, typical timestamps provide a potential signaling c
hannel between incomparable levels. In hierarchical databases, typical
timestamps cause peripheral sites to unnecessarily affect the behavio
r at main sites. Algorithms are presented by which a network node may
generate and compare timestamps using timestamp components maintained
at dominated nodes in the network. The comparison relation is shown to
be acyclic for timestamps produced by the generation algorithm. We di
scuss ways to safely relax the requirement that the network be a latti
ce. By example, we show how to modify a simple nonplanar lattice so th
at the generation algorithm can be applied. Uses of the timestamp gene
ration algorithm in the motivating applications are outlined.