  Modelling relationships between entities in real-world systems with a simple
graph is a standard approach. However, reality is better embraced as several
interdependent subsystems (or layers). Recently the concept of a multilayer
network model has emerged from the field of complex systems. This model can be
applied to a wide range of real-world datasets. Examples of multilayer networks
can be found in the domains of life sciences, sociology, digital humanities and
more. Within the domain of graph visualization there are many systems which
visualize datasets having many characteristics of multilayer graphs. This
report provides a state of the art and a structured analysis of contemporary
multilayer network visualization, not only for researchers in visualization,
but also for those who aim to visualize multilayer networks in the domain of
complex systems, as well as those developing systems across application
domains. We have explored the visualization literature to survey visualization
techniques suitable for multilayer graph visualization, as well as tools,
tasks, and analytic techniques from within application domains. This report
also identifies the outstanding challenges for multilayer graph visualization
and suggests future research directions for addressing them.
