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From many datasets gathered in online social networks, well defined community structures have been observed. A large number of users participate in these networks and the size of the resulting graphs poses computational challenges. There is…

Social and Information Networks · Computer Science 2014-01-15 Alexander V. Mantzaris

Two concepts of centrality have been defined in complex networks. The first considers the centrality of a node and many different metrics for it has been defined (e.g. eigenvector centrality, PageRank, non-backtracking centrality, etc). The…

Social and Information Networks · Computer Science 2016-03-14 Paolo Barucca , Daniele Tantari , Fabrizio Lillo

Complex contagion phenomena, such as the spread of information or contagious diseases, often occur among the population due to higher-order interactions between individuals. Individuals who can be represented by nodes in a network may play…

Physics and Society · Physics 2024-04-02 Su-Su Zhang , Xiaoyan Yu , Gui-Quan Sun , Chuang Liu , Xiu-Xiu Zhan

Centrality is one of the most fundamental metrics in network science. Despite an abundance of methods for measuring centrality of individual vertices, there are by now only a few metrics to measure centrality of individual edges. We modify…

Physics and Society · Physics 2019-09-25 Timo Bröhl , Klaus Lehnertz

The identification of key nodes in complex networks is an important topic in many network science areas. It is vital to a variety of real-world applications, including viral marketing, epidemic spreading and influence maximization. In…

Social and Information Networks · Computer Science 2024-12-04 Mateusz Stolarski , Adam Piróg , Piotr Bródka

This paper presents a data-driven mean-field approach to model the popularity dynamics of users seeking public attention, i.e., influencers. We propose a novel analytical model that integrates individual activity patterns, expertise in…

Social and Information Networks · Computer Science 2025-07-08 Franco Galante , Chiara Ravazzi , Luca Vassio , Michele Garetto , Emilio Leonardi

One of the most central questions in network science is: which nodes are most important? Often this question is answered using structural properties such as high connectedness or centrality in the network. However, static structural…

Physics and Society · Physics 2021-07-02 Casper van Elteren , Rick Quax , Peter Sloot

In social and biological systems, the structural heterogeneity of interaction networks gives rise to the emergence of a small set of influential nodes, or influencers, in a series of dynamical processes. Although much smaller than the…

Physics and Society · Physics 2018-05-04 Sen Pei , Flaviano Morone , Hernán A. Makse

Measures of node centrality that describe the importance of a node within a network are crucial for understanding the behavior of social networks and graphs. In this paper, we address the problems of distributed estimation and control of…

Systems and Control · Computer Science 2020-07-07 Eduardo Montijano , Gabriele Oliva , Andrea Gasparri

We show that prominent centrality measures in network analysis are all based on additively separable and linear treatments of statistics that capture a node's position in the network. This enables us to provide a taxonomy of centrality…

Physics and Society · Physics 2021-01-25 Francis Bloch , Matthew O. Jackson , Pietro Tebaldi

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

Network analysis is an important tool in understanding the behavior of complex systems of interacting entities. However, due to the limitations of data gathering technologies, some interactions might be missing from the network model. This…

Social and Information Networks · Computer Science 2016-08-25 Soumya Sarkar , Sanjukta Bhowmick , Suhansanu Kumar , Animesh Mukherjee

Nodal spreading influence is the capability of a node to activate the rest of the network when it is the seed of spreading. Combining nodal properties (centrality metrics) derived from local and global topological information respectively…

Physics and Society · Physics 2024-12-17 Shilun Zhang , Alan Hanjalic , Huijuan Wang

The Common Out-Neighbor (or CON) score quantifies shared influence through outgoing links in competitive contexts. A dynamic analysis of competition networks reveals the CON score as a powerful predictor of node rankings. Defined in…

Social and Information Networks · Computer Science 2025-02-03 Anthony Bonato , Mariam Walaa

In this work, we consider a strongly connected group of individuals involved in decision-making. The opinions of the individuals evolve using the Friedkin-Johnsen (FJ) model. We consider that there are two competing `influencers' (stubborn…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Aashi Shrinate , Twinkle Tripathy

This paper aims to explain deep neural networks (DNNs) from the perspective of multivariate interactions. In this paper, we define and quantify the significance of interactions among multiple input variables of the DNN. Input variables with…

Machine Learning · Computer Science 2021-02-04 Hao Zhang , Yichen Xie , Longjie Zheng , Die Zhang , Quanshi Zhang

Human social behavior plays a crucial role in how pathogens like SARS-CoV-2 or fake news spread in a population. Social interactions determine the contact network among individuals, while spreading, requiring individual-to-individual…

Physics and Society · Physics 2022-04-15 Mark M. Dekker , Tessa F. Blanken , Fabian Dablander , Jiamin Ou , Denny Borsboom , Debabrata Panja

Methods for efficiently controlling dynamics propagated on networks are usually based on identifying the most influential nodes. Knowledge of these nodes can be used for the targeted control of dynamics such as epidemics, or for modifying…

Physics and Society · Physics 2017-11-07 Kieran J. Sharkey

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

Measuring social influence is difficult due to the lack of counter-factuals and comparisons. By combining machine learning-based modeling and network science, we present general properties of social value, a recent measure for social…

Social and Information Networks · Computer Science 2025-05-20 Ho-Chun Herbert Chang