How and to what extent will new activities spread through social ties? Here, we develop a more sophisticated framework than the standard mean-field approach describe diffusion dynamics of multiple on complex networks. We show that follows saddle path can be highly unstable. In particular, when two are sufficiently substitutable, either them would dominate other by chance even if they equally at...

Multiplex networks describe systems whose interactions can be of different nature, and are fundamental to understand complexity beyond the framework simple graphs. Recently it has been pointed out that restricting attention pairwise is also a limitation, as vast majority complex include higher-order strongly affect their dynamics. Here, we propose hyper-diffusion on multiplex networks, dynamica...

A Wireless Sensor Network (WSN) is a collection of small sensor nodes with sensing, computation and communication capabilities. The sensor nodes are randomly deployed in distributed environment. The main goal of this paper is to form clusters of sensor nodes and to perform Data Aggregation to collect the data by maintaining the energy efficiency so that the network lifetime can be increased. Ne...