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Users of social networks display diversified behavior and online habits. For instance, a user's tendency to reply to a post can depend on the user and the person posting. For convenience, we group users into aggregated behavioral patterns,…

Social and Information Networks · Computer Science 2022-08-02 Tiandong Wang , Sidney Resnick

Preferential attachment is often suggested to be the underlying mechanism of the growth of a network, largely due to that many real networks are, to a certain extent, scale-free. However, such attribution is usually made under debatable…

Applications · Statistics 2025-09-16 Clement Lee

Network topology plays a key role in many phenomena, from the spreading of diseases to that of financial crises. Whenever the whole structure of a network is unknown, one must resort to reconstruction methods that identify the least biased…

Data Analysis, Statistics and Probability · Physics 2015-06-09 Rossana Mastrandrea , Tiziano Squartini , Giorgio Fagiolo , Diego Garlaschelli

We study the detailed growth of a social networking site with full temporal information by examining the creation process of each friendship relation that can collectively lead to the macroscopic properties of the network. We first study…

Physics and Society · Physics 2015-06-03 Haibo Hu , Xiaofan Wang

Over the last decade, an enormous interest and activity in complex networks have been witnessed within the physics community. On the other hand, diffusion and its theory, have equipped the toolbox of the physicist for decades. In this…

Statistical Mechanics · Physics 2010-05-04 Ingve Simonsen

We show that the protein-protein interaction networks can be surprisingly well described by a very simple evolution model of duplication and divergence. The model exhibits a remarkably rich behavior depending on a single parameter, the…

Molecular Networks · Quantitative Biology 2009-11-10 I. Ispolatov , P. L. Krapivsky , A. Yuryev

All crucial features of the recently observed real-world weighted networks are obtained in a model where the weight of a link is defined with a single non-linear parameter $\alpha$ as $w_{ij}=(s_is_j)^\alpha$, $s_i$ and $s_j$ are the…

Statistical Mechanics · Physics 2009-11-11 G. Mukherjee , S. S. Manna

We study how the community structure of bipartite mutualistic networks changes in a dynamic context. First, we consider a real mutualistic network and introduce extinction events according to several scenarios. We model extinctions as node…

Physics and Society · Physics 2019-06-04 Somaye Sheykhali , Juan Fernández-Gracia , Anna Traveset , Víctor M. Eguíluz

Link prediction is one of the fundamental problems in network analysis. In many applications, notably in genetics, a partially observed network may not contain any negative examples of absent edges, which creates a difficulty for many…

Machine Learning · Statistics 2013-01-30 Yunpeng Zhao , Elizaveta Levina , Ji Zhu

Despite the tremendous advancements in the field of network theory, very few studies have taken weights in the interactions into consideration that emerge naturally in all real world systems. Using random matrix analysis of a weighted…

Physics and Society · Physics 2016-02-25 Camellia Sarkar , Sarika Jalan

Tie strength prediction, sometimes named weight prediction, is vital in exploring the diversity of connectivity pattern emerged in networks. Due to the fundamental significance, it has drawn much attention in the field of network analysis…

Social and Information Networks · Computer Science 2020-01-16 Zhen Liu , Hu li , Chao Wang

The social networks that infectious diseases spread along are typically clustered. Because of the close relation between percolation and epidemic spread, the behavior of percolation in such networks gives insight into infectious disease…

Quantitative Methods · Quantitative Biology 2009-05-14 Joel C Miller

Association rules express implication formed relations among attributes in databases of itemsets. The apriori algorithm is presented, the basis for most association rule mining algorithms. It works by pruning away rules that need not be…

Databases · Computer Science 2019-07-24 Niels Mündler

Different weighted scale-free networks show weights-topology correlations indicated by the non linear scaling of the node strength with node connectivity. In this paper we show that networks with and without weight-topology correlations can…

Disordered Systems and Neural Networks · Physics 2009-11-10 Ginestra Bianconi

Growing attention has been brought to the fact that many real directed networks exhibit hierarchy and directionality as measured through techniques like Trophic Analysis and non-normality. We propose a simple growing network model where the…

Physics and Society · Physics 2024-05-13 Niall Rodgers , Peter Tino , Samuel Johnson

We propose a geometric growth model for weighted scale-free networks, which is controlled by two tunable parameters. We derive exactly the main characteristics of the networks, which are partially determined by the parameters. Analytical…

Physics and Society · Physics 2011-11-09 Zhongzhi Zhang , Shuigeng Zhou , Lichao Chen , Jihong Guan , Lujun Fang , Yichao Zhang

Networks describe a range of social, biological and technical phenomena. An important property of a network is its degree correlation or assortativity, describing how nodes in the network associate based on their number of connections.…

Social and Information Networks · Computer Science 2017-02-06 David N Fisher , Matthew J Silk , Daniel W Franks

We study growing networks in which each link carries a certain weight (randomly assigned at birth and fixed thereafter). The weight of a node is defined as the sum of the weights of the links attached to the node, and the network grows via…

Disordered Systems and Neural Networks · Physics 2009-11-10 T. Antal , P. L. Krapivsky

This paper expands the degree-based consideration of the preferential attachment growth process and applies five different connectivity criteria (node degree, clustering coefficient, betweenness centrality, closeness centrality, and…

Physics and Society · Physics 2020-01-16 Dimitrios Tsiotas

Over the past decade network theory has been applied successfully to the study of a variety of complex adaptive systems. However, the application of these techniques to non-human social networks has several shortfalls. Firstly, in most…

Populations and Evolution · Quantitative Biology 2009-03-10 David Lusseau , Hal Whitehead , Shane Gero