Feedback between node and network dynamics can produce real world network properties, and network structure is developed through localized bursts in time and space
Real world networks are characterized by common features, including among others a scale free degree distribution, a high clustering coefficient and a short typical distance between nodes. These properties are usually explained by the dynamics of edge and node addition and deletion.
We here propose to combine the dynamics of the nodes content and of the edges addition and deletion, using a threshold automata framework. Within this framework, we show that the typical properties of real world networks can be reproduced with a Hebbian approach, in which nodes with similar internal dynamics have a high probability of being connected. The proper network properties emerge only if an imbalance exists between excitatory and inhibitory connections, as is indeed observed in real networks.
We further check the plausibility of the suggested mechanism by observing an evolving social network and measuring the probability of edge addition as a function of similarity between contents of the corresponding nodes. We indeed find that similarity between nodes increases the emergence probability of a new link between them.