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Networks have in recent years emerged as an invaluable tool for describing and quantifying complex systems in many branches of science. Recent studies suggest that networks often exhibit hierarchical organization, where vertices divide into…

Machine Learning · Statistics 2008-11-05 Aaron Clauset , Cristopher Moore , M. E. J. Newman

Finding influential spreaders of information and disease in networks is an important theoretical problem, and one of considerable recent interest. It has been almost exclusively formulated as a node-ranking problem -- methods for…

Populations and Evolution · Quantitative Biology 2017-08-14 Jain Gu , Sungmin Lee , Jari Saramäki , Petter Holme

The study of networks has grown into a substantial interdisciplinary endeavour that encompasses myriad disciplines in the natural, social, and information sciences. Here we introduce a framework for constructing taxonomies of networks based…

Data Analysis, Statistics and Probability · Physics 2012-05-21 Jukka-Pekka Onnela , Daniel J. Fenn , Stephen Reid , Mason A. Porter , Peter J. Mucha , Mark D. Fricker , Nick S. Jones

The connectivity of a network contains information about the relationships between nodes, which can denote interactions, associations, or dependencies. We show that this information can be analyzed by measuring the uncertainty (and…

Physics and Society · Physics 2020-01-23 Brennan Klein , Erik Hoel

Understanding and quantifying node importance is a fundamental problem in network science and engineering, underpinning a wide range of applications such as influence maximization, social recommendation, and network dismantling. Prior…

Social and Information Networks · Computer Science 2026-02-17 Jiahui Gao , Kuang Zhou , Yuchen Zhu , Keyu Wu

We propose a new method for assessing agents influence in network structures, which takes into consideration nodes attributes, individual and group influences of nodes, and the intensity of interactions. This approach helps us to identify…

Social and Information Networks · Computer Science 2016-10-20 F. Aleskerov , N. Meshcheryakova , S. Shvydun

In this paper we quantify our limited information horizon, by measuring the information necessary to locate specific nodes in a network. To investigate different ways to overcome this horizon, and the interplay between communication and…

Disordered Systems and Neural Networks · Physics 2015-06-25 M. Rosvall , K. Sneppen

Complex networks representing social interactions, brain activities, molecular structures have been studied widely to be able to understand and predict their characteristics as graphs. Models and algorithms for these networks are used in…

Social and Information Networks · Computer Science 2022-10-24 Murat Çelik , Ali Baran Taşdemir , Lale Özkahya

The whole frame of interconnections in complex networks hinges on a specific set of structural nodes, much smaller than the total size, which, if activated, would cause the spread of information to the whole network [1]; or, if immunized,…

Physics and Society · Physics 2015-08-27 Flaviano Morone , Hernan A. Makse

The global dynamics of event cascades are often governed by the local dynamics of peer influence. However, detecting social influence from observational data is challenging due to confounds like homophily and practical issues like missing…

Social and Information Networks · Computer Science 2019-07-22 Sandeep Soni , Shawn Ling Ramirez , Jacob Eisenstein

When we search online for content, we are constantly exposed to rankings. For example, web search results are presented as a ranking, and online bookstores often show us lists of best-selling books. While popularity-based ranking algorithms…

Physics and Society · Physics 2019-03-28 Shilun Zhang , Matúš Medo , Linyuan Lü , Manuel Sebastian Mariani

Online social networks have become incredibly popular in recent years, which prompts an increasing number of companies to promote their brands and products through social media. This paper presents an approach for identifying influential…

Social and Information Networks · Computer Science 2020-06-26 Yuxin Mao , Lujie Zhou , Naixue Xiong

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

As the calculation of centrality in complex networks becomes increasingly vital across technological, biological, and social systems, precise and scalable ranking methods are essential for understanding these networks. This paper introduces…

Social and Information Networks · Computer Science 2025-01-30 Hao Ren , Jiaojiao Jiang

Topological landscape is introduced for networks with functions defined on the nodes. By extending the notion of gradient flows to the network setting, critical nodes of different indices are defined. This leads to a concise and…

Methodology · Statistics 2012-05-01 E. Weinan , Jianfeng Lu , Yuan Yao

Competition between a complex system's constituents and a corresponding reward mechanism based on it have profound influence on the functioning, stability, and evolution of the system. But determining the dominance hierarchy or ranking…

Physics and Society · Physics 2016-03-25 Juyong Park , Soon-Hyung Yook

Like other social systems, in collaborative filtering a small number of "influential" users may have a large impact on the recommendations of other users, thus affecting the overall behavior of the system. Identifying influential users and…

Social and Information Networks · Computer Science 2019-05-21 Farzad Eskandanian , Nasim Sonboli , Bamshad Mobasher

Clusters or communities can provide a coarse-grained description of complex systems at multiple scales, but their detection remains challenging in practice. Community detection methods often define communities as dense subgraphs, or…

We formulate and propose an algorithm (MultiRank) for the ranking of nodes and layers in large multiplex networks. MultiRank takes into account the full multiplex network structure of the data and exploits the dual nature of the network in…

Physics and Society · Physics 2018-03-06 Christoph Rahmede , Jacopo Iacovacci , Alex Arenas , Ginestra Bianconi

Who are the influential people in an online social network? The answer to this question depends not only on the structure of the network, but also on details of the dynamic processes occurring on it. We classify these processes as…

Computers and Society · Computer Science 2010-05-27 Rumi Ghosh , Kristina Lerman