  For magnetic graphs satisfying connection curvature dimension inequality
$CD^\sigma(n,\kappa)$, we prove a Harnack-type inequality for eigenfunctions of
the graph magnetic Laplace operator in the manner of work done by Chung, Lin,
Yau in 2014. Then we look at two applications; first a lower bound for the
least eigenvalue in terms of curvature and extremal path/degree quantities,
then to the magnetic Cheeger number of the graph.
