The problem of representing a set U corresponds to {u(1),...,u(m)} of
read-write variables on an n-node distributed-memory parallel computer
is considered. It is shown that U can be represented among the n node
s of a variant of the mesh of trees using O((m/n) polylog(m/n)) storag
e per node such that any n-tuple of variables may be accessed in O(log
n(log log n)(2)) time in the worst case for m polynomial in n.