  In causal set theory the gravitational path integral is replaced by a
path-sum over a sample space $\Omega_n$ of $n$-element causal sets. The
contribution from non-manifold-like orders dominates $\Omega_n$ for large $n$
and therefore must be tamed by a suitable action in the low energy limit of the
theory. We extend the work of Loomis and Carlip on the contribution of
sub-dominant bilayer orders to the causal set path-sum and show that the "link
action" suppresses the dominant Kleitman-Rothschild orders for the same range
of parameters.
