Fitness-Weighted Preferential Attachment with Varying Number of New Connections

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NETL
Springer Nature

外文摘要：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。

外文关键词：

Preferential attachmentNode fitnessHarmonic numberRiemann zeta function

作者：

Juan Romero、Jorge Finke、Andres Salazar

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作者单位：

Pontificia Universidad Javeriana Cali, Santiago de Cali, Colombia

会议名称：

International workshop on complex networks and their applications

会议地点：

Lisbon(PT)

会议母体文献：

Complex networks and their applications VIII

页码：

612-620

出版时间：

2019

DOI：

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