Fitness-Weighted Preferential Attachment with Varying Number of New Connections

被引：0

作者：

Romero, Juan ^{[1
]}

Finke, Jorge ^{[1
]}

Salazar, Andres ^{[1
]}

机构：

[1] Pontificia Univ Javeriana Cali, Santiago De Cali, Colombia

来源：

COMPLEX NETWORKS AND THEIR APPLICATIONS VIII, VOL 1 | 2020年 / 881卷

关键词：

Preferential attachment; Node fitness; Harmonic number; Riemann zeta function;

D O I：

10.1007/978-3-030-36687-2_51

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Preferential attachment models are used to explain the emergence of power laws in the degree distributions of networks. These models assume that a new node attaches to a network by establishing edges to a fixed number of nodes. Nonetheless, for many empirical networks the number of new edges varies as more nodes become part of the network. This paper extends the linear preferential attachment model by considering that the number of new edges is characterized by a random variable that obeys a power law probability function. While most new nodes connect to a few nodes, some nodes connect to a larger number. We characterize the dynamics of growth of the degrees of the nodes and the degree distribution of the network.

引用

页码：612 / 620

页数：9

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