  This work studies linear interference networks, both wired and wireless, with
no channel state information at the transmitters (CSIT) except a coarse
knowledge of the end-to-end one-hop topology of the network that only allows a
distinction between weak (zero) and significant (non-zero) channels and no
further knowledge of the channel coefficients' realizations. The network
capacity (wired) and DoF (wireless) are found to be bounded above by the
capacity of an index coding problem for which the antidote graph is the
complement of the given interference graph. The problems are shown to be
equivalent under linear solutions. An interference alignment perspective is
then used to translate the existing index coding solutions into the wired
network capacity and wireless network DoF solutions, as well as to find new and
unified solutions to different classes of all three problems.
