This monograph introduces to the reader the idea of interference alignment, traces its
origins, reviews a variety of interference alignment schemes, summarizes the diverse …

In recent years, there has been rapid progress on understanding Gaussian networks with
multiple unicast connections, and new coding techniques have emerged. The essence of …

We consider two-source two-destination (ie, two-unicast) multihop wireless networks that
have a layered structure with arbitrary connectivity. We show that, if the channel gains are …

A conventional relay causes a processing delay of at least one symbol duration relative to
the direct paths between a source and a destination. This delay caused by using the …

Consider several source nodes communicating across a wireless network to a destination
node with the help of several layers of relay nodes. Recent work by Avestimehr has …

We study the layered two-hop, two-unicast multi-input, multi-output (MIMO) interference
network, which consists of two transmitters, two relays, and two receivers with the first and …

In this paper, we study linear network coding over a wireline network of orthogonal
capacitated links represented by a directed acyclic graph. Applying the algebraic framework …

We characterize the degrees-of-freedom (DoF) region of a class of two-unicast wireless
networks under the assumption of delayed channel state information at the transmitters. We …

The fading AWGN two-user two-hop network is considered where the channel coefficients
are independent and identically distributed (iid) according to a continuous distribution and …

This paper explores how degrees of freedom (DoF) results from wireless networks can be
translated into capacity or linear capacity results for their finite field counterparts that arise in …