  Millimeter-wave (mmWave) communication is a promising technology to cope with
the exponential increase in 5G data traffic.
  Such networks typically require a very dense deployment of base stations.
  A subset of those, so-called macro base stations, feature high-bandwidth
connection to the core network, while relay base stations are connected
wirelessly.
  To reduce cost and increase flexibility, wireless backhauling is needed to
connect both macro to relay as well as relay to relay base stations.
  The characteristics of mmWave communication mandates new paradigms for
routing and scheduling.
  The paper investigates scheduling algorithms under different interference
models.
  To showcase the scheduling methods, we study the maximum throughput fair
scheduling problem. Yet the proposed algorithms can be easily extended to other
problems.
  For a full-duplex network under the no interference model, we propose an
efficient polynomial-time scheduling method, the {\em schedule-oriented
optimization}. Further, we prove that the problem is NP-hard if we assume
pairwise link interference model or half-duplex radios.
  Fractional weighted coloring based approximation algorithms are proposed for
these NP-hard cases.
  Moreover, the approximation algorithm parallel data stream scheduling is
proposed for the case of half-duplex network under the no interference model.
It has better approximation ratio than the fractional weighted coloring based
algorithms and even attains the optimal solution for the special case of
uniform orthogonal backhaul networks.
