Scale-free property of the weights in a random graph model

Autor: Fazekas, István, Perecsényi, Attila
Jazyk: angličtina
Popis: A new modification of the N interaction model [5], which based on the 3-interactions model of Backhausz-Móri [1]. This is a growing model, what evolves by weights. In every step N verticies will interact by form a star graph. We can choose vertices uniformly or according to their weights (preferential attachment). Our aim is to show asymptotic power-law distributions of the weights. The proofs are based on discrete time martingale methods. Numerical result is also presented.
Databáze: OpenAIRE