  We show how to deduce Rellich inequalities from Hardy inequalities on
infinite graphs. Specifically, the obtained Rellich inequality gives an upper
bound on a function by the Laplacian of the function in terms of weighted
norms. These weights involve the Hardy weight and a function which satisfies an
eikonal inequality. The results are proven first for Laplacians and are
extended to Schr\"odinger operators afterwards.
