Adaptive networks: theory, models and applications by Thilo Gross, Hiroki Sayama

By Thilo Gross, Hiroki Sayama

With adaptive, complicated networks, the evolution of the community topology and the dynamical procedures at the community are both very important and infrequently essentially entangled.

Recent study has proven that such networks can express a plethora of recent phenomena that are eventually required to explain many real-world networks. a few of these phenomena comprise powerful self-organization in the direction of dynamical criticality, formation of advanced international topologies in response to easy, neighborhood principles, and the spontaneous department of "labor" during which an at the start homogenous inhabitants of community nodes self-organizes into functionally exact sessions. those are only a couple of.

This ebook is a cutting-edge survey of these certain networks. In it, major researchers got down to outline the long run scope and path of a few of the main complex advancements within the large box of complicated community technological know-how and its applications.

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The fact that the communities obtained by the CPM can have overlaps makes the problem even more complicated. A simple approach would be to match communities from consecutive time steps in descending order of their relative overlap. The relative overlap between communities A and B can be defined as growth t Fig. 9 Possible events in the community evolution. When new members are introduced, the community grows, whereas leaving members cause decay in the size. Communities can merge and split, new groups may emerge and old ones can disappear.

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This latter type of member joins the community for only one time step). From top to bottom, we show a small and stationary community (a), a small and non-stationary community (b), a large and stationary community (c) and, finally, a large and non-stationary community (d). A mainly growing stage (two time steps) in the evolution of the latter community is detailed in panel (e). Figure from [52] To address this question, for each member in a community we measured the total weight of this member’s connections to outside of the community (wout ) as well as to members belonging to the same community (win ).

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