Dynamics of link states in complex networks: The case of a majority rule

Fernández-Gracia, J.; Castelló, X.; Eguíluz, V.M.; San Miguel , M.
Physical Review E 86, 066113 (1-8) (2012)

Motivated by the idea that some characteristics are specific to the relations between individuals and not to the individuals themselves, we study a prototype model for the dynamics of the states of the links in a fixed network of interacting units. Each link in the network can be in one of two equivalent states. A majority link-dynamics rule is implemented, so that in each dynamical step the state of a randomly chosen link is updated to the state of the majority of neighboring links. Nodes can be characterized by a link heterogeneity index, giving a measure of the likelihood of a node to have a link in one of the two states. We consider this link-dynamics model in fully connected networks, square lattices, and Erdös-Renyi random networks. In each case we find and characterize a number of nontrivial asymptotic configurations, as well as some of the mechanisms leading to them and the time evolution of the link heterogeneity index distribution. For a fully connected network and random networks there is a broad distribution of possible asymptotic configurations. Most asymptotic configurations that result from link dynamics have no counterpart under traditional node dynamics in the same topologies.

Additional files


Aquesta web utilitza cookies per a la recollida de dades amb un propòsit estadístic. Si continues navegant, vol dir que acceptes la instal·lació de la cookie.


Més informació D'accord