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Research in network science has shown that many naturally occurring and technologically constructed networks are scale free, that means a power law degree distribution emerges from a growth model in which each new node attaches to the…

物理与社会 · 物理学 2009-11-11 Michael Schnegg

A network growth mechanism based on a two-step preferential rule is investigated as a model of network growth in which no global knowledge of the network is required. In the first filtering step a subset of fixed size $m$ of existing nodes…

无序系统与神经网络 · 物理学 2009-11-10 Hrvoje Stefancic , Vinko Zlatic

Models of complex networks often incorporate node-intrinsic properties abstracted as hidden variables. The probability of connections in the network is then a function of these variables. Real-world networks evolve over time, and many…

物理与社会 · 物理学 2021-05-19 Harrison Hartle , Fragkiskos Papadopoulos , Dmitri Krioukov

Many biological, ecological and economic systems are best described by weighted networks, as the nodes interact with each other with varying strength. However, most network models studied so far are binary, the link strength being either 0…

无序系统与神经网络 · 物理学 2009-11-07 S. H. Yook , H. Jeong , A. -L. Barabasi , Y. Tu

Complex networks have emerged as a simple yet powerful framework to represent and analyze a wide range of complex systems. The problem of ranking the nodes and the edges in complex networks is critical for a broad range of real-world…

物理与社会 · 物理学 2017-08-30 Hao Liao , Manuel Sebastian Mariani , Matus Medo , Yi-Cheng Zhang , Ming-Yang Zhou

We will introduce two evolving models that characterize weighted complex networks. Though the microscopic dynamics are different, these models are found to bear a similar mathematical framework, and hence exhibit some common behaviors, for…

无序系统与神经网络 · 物理学 2007-05-23 Bo Hu , Gang Yan , Wen-Xu Wang , Wen Chen

We suggest an underlying mechanism that governs the growth of a network of concepts, a complex network that reflects the connections between different scientific concepts based on their co-occurrences in publications. To this end, we…

物理与社会 · 物理学 2021-06-28 V. Palchykov , M. Krasnytska , O. Mryglod , Yu. Holovatch

How are people linked in a highly connected society? Since in many networks a power-law (scale-free) node-degree distribution can be observed, power-law might be seen as a universal characteristics of networks. But this study of…

物理与社会 · 物理学 2023-06-22 Matthias Scholz

The number of common friends (or connections) in a graph is a commonly used measure of proximity between two nodes. Such measures are used in link prediction algorithms and recommendation systems in large online social networks. We obtain…

概率论 · 数学 2019-08-14 Bikramjit Das , Souvik Ghosh

For most networks, the connection between two nodes is the result of their mutual affinity and attachment. In this paper, we propose a mutual selection model to characterize the weighted networks. By introducing a general mechanism of…

统计力学 · 物理学 2009-11-11 Wen-Xu Wang , Bu Hu , Tao Zhou , Bing-Hong Wang , Yan-Bo Xie

We propose a simple preferential attachment model of growing network using the complementary probability of Barab\'asi-Albert (BA) model, i.e., $\Pi(k_i) \propto 1-\frac{k_i}{\sum_j k_j}$. In this network, new nodes are preferentially…

物理与社会 · 物理学 2016-01-20 A. Lachgar , A. Achahbar

We study the growth of a directed network, in which the growth is constrained by the cost of adding links to the existing nodes. We propose a new preferential-attachment scheme, in which a new node attaches to an existing node i with…

统计力学 · 物理学 2007-05-23 Volkan Sevim , Per Arne Rikvold

We introduce a mechanism which models the emergence of the universal properties of complex networks, such as scale independence, modularity and self-similarity, and unifies them under a scale-free organization beyond the link. This brings a…

Complex systems can be characterized by classes of equivalency of their elements defined according to system specific rules. We propose a generalized preferential attachment model to describe the class size distribution. The model…

We study a novel model for evolution of complex networks. We introduce information filtering for reduction of the number of available nodes to a randomly chosen sample, as stochastic component of evolution. New nodes are attached to the…

无序系统与神经网络 · 物理学 2009-11-10 H. Stefancic , V. Zlatic

We provided a game model to simulate the evolution of coauthorship networks, a geometric hypergraph built on a circle. The model expresses kin selection and network reciprocity, two typically cooperative mechanisms, through a cooperation…

物理与社会 · 物理学 2018-12-27 Zheng Xie

In this paper, a new framework to study weighed networks is introduced. The idea behind this methodology is to consider that each node of the network is an agent that desires to satisfy his/her preferences in an economic sense. Moreover,…

物理与社会 · 物理学 2009-11-11 Daniel O. Cajueiro

This paper presents an evolution model of weighted networks in which the structural growth and weight dynamics are driven by human behavior, i.e. passenger route choice behavior. Transportation networks grow due to people's increasing…

物理与社会 · 物理学 2007-09-27 Yihong Hu , Daoli Zhu , Nianqu Zhu

Preferential attachment is an appealing edge generating mechanism for modeling social networks. It provides both an intuitive description of network growth and an explanation for the observed power laws in degree distributions. However,…

统计方法学 · 统计学 2017-12-21 Phyllis Wan , Tiandong Wang , Richard A. Davis , Sidney I. Resnick

Complex networks in different areas exhibit degree distributions with heavy upper tail. A preferential attachment mechanism in a growth process produces a graph with this feature. We herein investigate a variant of the simple preferential…

概率论 · 数学 2018-04-18 Angelica Pachon , Laura Sacerdote , Shuyi Yang