Diffusive behavior of multiplex networks

Communicability reveals a transition to coordinated behavior in multiplex networks

We analyze the flow of information in multiplex networks by means of the communicability function. First, we generalize this measure from its definition from simple graphs to multiplex networks. Then, we study its relevance for the analysis of real-world systems by studying a social multiplex where information flows using formal-informal channels and an air transportation system where the layer...

Multiplex Networks 1 Running Head: MULTIPLEX NETWORKS The Coevolution of Multiplex Networks in Organizational Communities

This research examines how multiplex organizational networks coevolve. Evolutionary and network theories were used to develop hypotheses about tie formation in both uniplex and multiple networks in organizational communities. Based on data between 1997 and 2005 collected from the records of development projects in the field of Information and Communication Technology for Development, the study ...

Diffusive Behavior of Interacting Particle Systems

Diffusive behavior of a greedy traveling salesman.

Using Monte Carlo simulations we examine the diffusive properties of the greedy algorithm in the d-dimensional traveling salesman problem. Our results show that for d=3 and 4 the average squared distance from the origin (r(2)) is proportional to the number of steps t. In the d=2 case such a scaling is modified with some logarithmic corrections, which might suggest that d=2 is the critical dimen...

Growing multiplex networks

We propose a modeling framework for growing multiplexes where a node can belong to different networks. We define new measures for multiplexes and we identify a number of relevant ingredients for modeling their evolution such as the coupling between the different layers and the distribution of node arrival times. The topology of the multiplex changes significantly in the different cases under co...