Artículos de revistas
The friendship paradox in scale-free network
Fecha
2014Registro en:
Applied Mathematical Sciences, Ruse, v.8, n.37, p.1837-1845, 2014
10.12988/ams.2014.4288
Autor
Amaku, Marcos
Cipullo, Rafael Ishibashi
Filho, José Henrique de Hildebrand e Grisi
Marques, Fernando Silveira
Ossada, Raul
Institución
Resumen
Our friends have more friends than we do. That is the basis of the friendship paradox. In mathematical terms, the mean number of friends of friends is higher than the mean number of friends. In the present study, we analyzed the relationship between the mean degree of vertices (individuals), k , and the mean number of friends of friends, kFF, in scale-free networks with degrees ranging from a minimum degree (kmin) to a maximum degree (kmax). We deduced an expression for kFF − k for scale-free networks following a power-law distribution with a given scaling parameter (α). Based on this expression, we can quantify how the degree distribution of a scale-free network affects the mean number of friends of friends.