
Communicability angles reveal critical edges for network consensus dynamicsCommunicability angles reveal critical edges for network consensus dynamicsAA11558033 
"/Estrada, Ernesto/"Estrada, Ernesto ,
"/VargasEstrada, Eusebio/"VargasEstrada, Eusebio ,
"/Ando, Hiroyasu/"Ando, Hiroyasu
92
(
5
)
, p.052809 , 201511 , American Physical Society
ISSN:15393755
NCID:AA11558033
Description
We consider the question of determining how the topological structure influences a consensus dynamical processes taking place on a network. By considering a large data set of realworld networks we first determine that the removal of edges according to their communicability angle, an angle between position vectors of the nodes in an Euclidean communicability space, increases the average time of consensus by a factor of 5.68 in realworld networks. The edge betweenness centrality also identifies, in a smaller proportion, those critical edges for the consensus dynamics; i.e., its removal increases the time of consensus by a factor of 3.70. We justify theoretically these findings on the basis of the role played by the algebraic connectivity and the isoperimetric number of networks on the dynamical process studied and their connections with the properties mentioned before. Finally, we study the role played by global topological parameters of networks on the consensus dynamics. We determine that the network density and the average distancesum, which is analogous of the node degree for shortestpath distances, account for more than 80% of the variance of the average time of consensus in the realworld networks studied.
FullText
https://tsukuba.repo.nii.ac.jp/?action=repository_action_common_download&item_id=36561&item_no=1&attribute_id=17&file_no=1