Emergence of overlap in ensembles of spatial multiplexes and statistical mechanics of spatial interacting network ensembles
Abstract
Spatial networks range from the brain networks, to transportation networks and infrastructures. Recently interacting and multiplex networks are attracting great attention because their dynamics and robustness cannot be understood without treating at the same time several networks. Here we present maximal entropy ensembles of spatial multiplex and spatial interacting networks that can be used in order to model spatial multilayer network structures and to build null models of real data sets. We show that spatial multiplexes naturally develop a significant overlap of the links, a noticeable property of many multiplexes that can affect significantly the dynamics taking place on them. Additionally, we characterize ensembles of spatial interacting networks and we analyze the structure of interacting airport and railway networks in India, showing the effect of space in determining the link probability.
- Publication:
-
Physical Review E
- Pub Date:
- January 2014
- DOI:
- 10.1103/PhysRevE.89.012806
- arXiv:
- arXiv:1309.4411
- Bibcode:
- 2014PhRvE..89a2806H
- Keywords:
-
- 89.75.Hc;
- 89.75.Fb;
- Networks and genealogical trees;
- Structures and organization in complex systems;
- Physics - Physics and Society;
- Condensed Matter - Disordered Systems and Neural Networks;
- Computer Science - Social and Information Networks
- E-Print:
- (12 pages, 4 figures) for downloading data see URL http://sites.google.com/site/satyammukherjee/pubs