Vertices arrive sequentially in space and are joined to existing vertices at random according to a preferential rule combining degree and spatial proximity. We investigate phase transitions in the ...
The concept of preferential attachment is behind the hubs and power laws seen in many networks. New results fuel an old debate about its origin, and beg the question of whether it is based on ...
Advances in Applied Probability, Vol. 45, No. 3 (SEPTEMBER 2013), pp. 876-893 (18 pages) For a family of linear preferential attachment graphs, we provide rates of convergence for the total variation ...