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The supra-Laplacian of the multiplex network is Therefore, the matrix is the normalized supra-Laplacian.

Weight prediction in the multiplex network is based on the scoring of proposed multiplex likelihood assignment method.

Formally, a multiplex network is a multilayer graph in which the same set of nodes are connected by different types of relationships.

The most fragile multiplex network is BA-ER that gets almost completely disconnected with the removal of only 20% of its edges.

A multiplex network is a network in which every pair of nodes can be connected by is a pair of nodes with different types of edges and can be visualized in the form of multiple layers.

This finding also explains why we observed that the communities extracted from the multiplex network are mainly pivoted on SMS communities.

The paradigm of multiplex networks is social systems, since these systems can be seen as a superposition of a multitude of complex social networks, where nodes represent individuals and links capture a variety of different social relations.

Multiplex networks are closer to reality as they encapsulate various heterogeneous relations rather than just one.

Multiplex networks are realistic representation where they can take all types of information influencing a certain dynamic to predict the outcomes in future.

The London multiplex transport network is a three-layer multiplex network where nodes represent train stations in London and edges encode the existing routes between stations: underground, overground, and DLR station.

It is also shown that a multiplex signed network is structurally balanced if and only if its related compressed network is structurally balanced.