  In this paper, we focus on the analysis of discrete versions of the Calderon
problem with partial boundary data in dimension d >= 3. In particular, we
establish logarithmic stability estimates for the discrete Calderon problem on
an arbitrarily small portion of the boundary under suitable a priori bounds.
For this end, we will use CGO solutions and derive a new discrete Carleman
estimate and a key unique continuation estimate. Unlike the continuous case, we
use a new strategy inspired by [32] to prove the key discrete unique
continuation estimate by utilizing the new Carleman estimate with boundary
observations for a discrete Laplace operator.
