Workplan of Miroslav Andjelkovic (Vinca Institute of Nuclear Sciences, Belgrade, Serbia)

Network multiplex property, originating from multi-relational connections between pairs of nodes, is a new aspect of complex networks theory and its applications. It leads to a layered structure of networks, where each layer can refer to a specific attribute of the nodes’ connections. So far, understanding of such features of complex networks has been quantified by comparing different layers of a network through specific measures defined at the level of individual nodes or individual links. Here, we propose to qualitatively extend the analysis and introduce a new measure, which is based on the node\\`s local environments at different layers; these environments, mathematically defined by simplicial complexes of different dimensions, would serve as quantitative measures which, by their own right, determine the extended units of nodes and links together with the quality of their connections. The plan is also to extend the topological apparatus based on simplicial complexes in order to capture properties of multiplex networks that otherwise would elude standard methods. We propose to consider a large number of computer generated networks, i.e., from the agent-based simulations of online chats, in which the layered structure originates from emotional messages and can be tuned by changing the parameters of the model. We also plan to devise a program for synchronous visualization of multiplex networks and their simplicial complex counterpart. The new topological methods will be also applied to large scale multiplex digital information data (knowledge database) where multiplexity originates from multilevel taxonomy.

Host: Bosiljka Tadic, Ljubljana, Slovenia