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After the phenomenal success of the PageRank algorithm, many researchers have extended the PageRank approach to ranking graphs with richer structures beside the simple linkage structure. In some scenarios we have to deal with…

Numerical Analysis · Mathematics 2018-11-15 Gianna M. Del Corso , Francesco Romani

Networks analysis has been commonly used to study the interactions between units of complex systems. One problem of particular interest is learning the network's underlying connection pattern given a single and noisy instantiation. While…

Machine Learning · Statistics 2021-06-08 Tianxi Li , Can M. Le

In recent years we have witnessed an explosion of data collected for different human dynamics, from email communication to social networks activities. Extract useful information from these huge data sets represents a major challenge. In the…

Physics and Society · Physics 2019-12-09 Anna Tovo , Samuele Stivanello , Amos Maritan , Samir Suweis , Stefano Favaro , Marco Formentin

Processing large complex networks recently attracted considerable interest. Complex graphs are useful in a wide range of applications from technological networks to biological systems like the human brain. Sometimes these networks are…

Data Structures and Algorithms · Computer Science 2019-12-03 Christian Schulz

While the majority of approaches to the characterization of complex networks has relied on measurements considering only the immediate neighborhood of each network node, valuable information about the network topological properties can be…

Statistical Mechanics · Physics 2015-06-24 Luciano da Fontoura Costa , Filipi Nascimento Silva

Connectivity correlations play an important role in the structure of scale-free networks. While several empirical studies exist, there is no general theoretical analysis that can explain the largely varying behavior of real networks. Here,…

Physics and Society · Physics 2009-11-13 Lazaros K. Gallos , Chaoming Song , Hernan A. Makse

Random networks with complex topology are common in Nature, describing systems as diverse as the world wide web or social and business networks. Recently, it has been demonstrated that most large networks for which topological information…

Disordered Systems and Neural Networks · Physics 2016-08-31 Albert-Laszlo Barabasi , Reka Albert , Hawoong Jeong

Networks are a fundamental model of complex systems throughout the sciences, and network datasets are typically analyzed through lower-order connectivity patterns described at the level of individual nodes and edges. However, higher-order…

Social and Information Networks · Computer Science 2018-02-21 Austin R. Benson

All networks can be analyzed at multiple scales. A higher scale of a network is made up of macro-nodes: subgraphs that have been grouped into individual nodes. Recasting a network at higher scales can have useful effects, such as decreasing…

Social and Information Networks · Computer Science 2022-02-18 Ross Griebenow , Brennan Klein , Erik Hoel

Temporal networks have been increasingly used to model a diversity of systems that evolve in time; for example human contact structures over which dynamic processes such as epidemics take place. A fundamental aspect of real-life networks is…

Physics and Society · Physics 2017-11-08 Luis E C Rocha , Naoki Masuda , Petter Holme

With the increasing abundance of 'digital footprints' left by human interactions in online environments, e.g., social media and app use, the ability to model complex human behavior has become increasingly possible. Many approaches have been…

Social and Information Networks · Computer Science 2019-01-28 David Darmon , William Rand , Michelle Girvan

Accurately estimating traffic variables across unequipped portions of a network remains a significant challenge due to the limited coverage of sensor-equipped links, such as loop detectors and probe vehicles. A common approach is to apply…

Applications · Statistics 2025-10-28 Nandan Maiti , Manon Seppecher , Ludovic Leclercq

Epidemiologists and social scientists have used the Network Scale-Up Method (NSUM) for over thirty years to estimate the size of a hidden sub-population within a social network. This method involves querying a subset of network nodes about…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-17 Sergio Díaz-Aranda , Juan Marcos Ramírez , Mohit Daga , Jaya Prakash Champati , José Aguilar , Rosa Elvira Lillo , Antonio Fernández Anta

The models of the Internet reported in the literature are mainly aimed at reproducing the scale-free structure, the high clustering coefficient and the small world effects found in the real Internet, while other important properties (e.g.…

Physics and Society · Physics 2011-11-10 F. A. Rodrigues , P. R. Villas Boas , G. Travieso , L. da F. Costa

A vast amount of textual web streams is influenced by events or phenomena emerging in the real world. The social web forms an excellent modern paradigm, where unstructured user generated content is published on a regular basis and in most…

Machine Learning · Computer Science 2012-08-15 Vasileios Lampos

Estimating influence on social media networks is an important practical and theoretical problem, especially because this new medium is widely exploited as a platform for disinformation and propaganda. This paper introduces a novel approach…

Social and Information Networks · Computer Science 2018-09-06 Steven T. Smith , Edward K. Kao , Danelle C. Shah , Olga Simek , Donald B. Rubin

Multi-layered social networks reflect complex relationships existing in modern interconnected IT systems. In such a network each pair of nodes may be linked by many edges that correspond to different communication or collaboration user…

Social and Information Networks · Computer Science 2012-10-19 Piotr Bródka , Krzysztof Skibicki , Przemysław Kazienko , Katarzyna Musiał

Complex contagion models have been developed to understand a wide range of social phenomena such as adoption of cultural fads, the diffusion of belief, norms, and innovations in social networks, and the rise of collective action to join a…

Physics and Society · Physics 2018-07-04 Yong Zhuang , Osman Yağan

Counting the frequency of small subgraphs is a fundamental technique in network analysis across various domains, most notably in bioinformatics and social networks. The special case of triangle counting has received much attention. Getting…

Data Structures and Algorithms · Computer Science 2014-11-19 Madhav Jha , C. Seshadhri , Ali Pinar

How information spreads through a social network? Can we assume, that the information is spread only through a given social network graph? What is the correct way to compare the models of information flow? These are the basic questions we…

Social and Information Networks · Computer Science 2016-11-30 Andrzej Pacuk , Piotr Sankowski , Karol Wegrzycki , Piotr Wygocki