A two layer multiplex and its partition into multilink communities.

<p>(A) A simple two layer multiplex networks where the links in blue correspond to one layer and the dark pink ones to another layer. (B) Dendrogram of the multiplex network obtained from the multilink similarity. The dashed red line shows the maximum link modularity used to define the link communities. (C) Panel C shows the partition of the multiplex network into three communities revealing that communities can be formed by a single (community {<i>a</i>, <i>b</i>, <i>c</i>, <i>d</i>}) or multiple layers (community {<i>d</i>, <i>e</i>, <i>f</i>}) and that the nodes communities are independent on the node activity (node <i>d</i> belongs to two community and is active in one layer, node <i>g</i> is belongs to one community and is active in one layer). The colors of the dendrogram branches in panel B and of the color of the multilinks of the multiplex network in panel C indicate the different multilink communities. The multilink communities were detected using <i>ϵ</i> = 0.4, <i>z</i> = 0.6.