  In this paper, we continue our study of the zero-divisor graphs of lower
dismantlable lattices that was started in [20]. The present paper mainly deals
with an Isomorphism Problem for the zero-divisor graphs of lattices. In fact,
we prove that the zero-divisor graphs of lower dismantlable lattices with the
greatest element 1 as join-reducible are isomorphic if and only if the lattices
are isomorphic.
