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In a recent work we introduced a measure of importance for groups of vertices in a complex network. This centrality for groups is always between 0 and 1 and induces the eigenvector centrality over vertices. Furthermore, its value over any…

Data Structures and Algorithms · Computer Science 2019-09-12 P-L. Giscard , R. C. Wilson

How does one find important or influential people in an online social network? Researchers have proposed a variety of centrality measures to identify individuals that are, for example, often visited by a random walk, infected in an…

Social and Information Networks · Computer Science 2013-03-20 Kristina Lerman , Prachi Jain , Rumi Ghosh , Jeon-Hyung Kang , Ponnurangam Kumaraguru

Nodes that play strategic roles in networks are called critical or influential nodes. For example, in an epidemic, we can control the infection spread by isolating critical nodes; in marketing, we can use certain nodes as the initial…

Physics and Society · Physics 2024-09-24 Zahra Farahi , Ali Kamandi , Rooholah Abedian , Luis Enrique Correa Rocha

Vertex centrality measures are a multi-purpose analysis tool, commonly used in many application environments to retrieve information and unveil knowledge from the graphs and network structural properties. However, the algorithms of such…

Social and Information Networks · Computer Science 2018-12-03 Felipe Grando , Luis C. Lamb

Understanding the importance of links in transmitting information in a network can provide ways to hinder or postpone ongoing dynamical phenomena like the spreading of epidemic or the diffusion of information. In this work, we propose a new…

Social and Information Networks · Computer Science 2018-02-16 Qian Zhang , Márton Karsai , Alessandro Vespignani

Eigenvector-based centrality measures are among the most popular centrality measures in network science. The underlying idea is intuitive and the mathematical description is extremely simple in the framework of standard, mono-layer…

Social and Information Networks · Computer Science 2021-02-25 Francesco Tudisco , Francesca Arrigo , Antoine Gautier

Centrality describes the importance of nodes in a graph and is modeled by various measures. Its global analogue, called centralization, is a general formula for calculating a graph-level centrality score based on the node-level centrality…

Social and Information Networks · Computer Science 2022-05-03 Jose Mari E. Ortega , Rolito G. Eballe

Many real world systems can be expressed as complex networks of interconnected nodes. It is frequently important to be able to quantify the relative importance of the various nodes in the network, a task accomplished by defining some…

Physics and Society · Physics 2016-08-08 José Ricardo Furlan Ronqui , Gonzalo Travieso

Spreading is a ubiquitous process in the social, biological and technological systems. Therefore, identifying influential spreaders, which is important to prevent epidemic spreading and to establish effective vaccination strategies, is full…

Physics and Society · Physics 2017-10-17 Senbin Yu , Liang Gao , Yi-Fan Wang , Ge Gao , Congcong Zhou , Zi-You Gao

Computing classical centrality measures such as betweenness and closeness is computationally expensive on large-scale graphs. In this work, we introduce an efficient force layout algorithm that embeds a graph into a low-dimensional space,…

Social and Information Networks · Computer Science 2026-04-29 Alexander Kolpakov , Igor Rivin

As relational datasets modeled as graphs keep increasing in size and their data-acquisition is permeated by uncertainty, graph-based analysis techniques can become computationally and conceptually challenging. In particular, node centrality…

Social and Information Networks · Computer Science 2020-03-10 Marco Avella-Medina , Francesca Parise , Michael T. Schaub , Santiago Segarra

We consider the problem of estimating a network's eigenvector centrality only from data on the nodes, with no information about network topology. Leveraging the versatility of graph filters to model network processes, data supported on the…

Social and Information Networks · Computer Science 2021-09-01 T. Mitchell Roddenberry , Santiago Segarra

Recent development of network structure analysis shows that it plays an important role in characterizing complex system of many branches of sciences. Different from previous network centrality measures, this paper proposes the notion of…

Information Retrieval · Computer Science 2009-02-12 Hai Zhuge , Junsheng Zhang

In complex networks there are overlapping substructures or "circles" that consist of nodes belonging to multiple cohesive subgroups. Yet the role of these overlapping nodes in influence spreading processes remains underexplored. In the…

Social and Information Networks · Computer Science 2026-03-12 Kosti Koistinen , Vesa Kuikka , Kimmo Kaski

When analyzing the statistical and topological characteristics of complex networks, an effective and convenient way is to compute the centralities for recognizing influential and significant nodes or structures, yet most of them are…

Social and Information Networks · Computer Science 2018-05-08 Xiangnan Feng , Wei Wei , Jiannan Wang , Ying Shi , Zhiming Zheng

Complex networks or graphs provide a powerful framework to understand importance of individuals and their interactions in real-world complex systems. Several graph theoretical measures have been introduced to access importance of the…

Physics and Society · Physics 2020-04-08 Priodyuti Pradhan , Angeliya C. U. , Sarika Jalan

Influence Maximization (IM) aims at finding the most influential users in a social network, i. e., users who maximize the spread of an opinion within a certain propagation model. Previous work investigated the correlation between influence…

Social and Information Networks · Computer Science 2020-04-02 Mehmet Simsek , Henning Meyerhenke

Much work in Social Network Analysis has focused on the identification of the most important actors in a social network. This has resulted in several measures of influence and authority. While most of such sociometrics (e.g., PageRank) are…

Social and Information Networks · Computer Science 2011-08-25 Karthik Subbian , Prem Melville

One of the most fundamental problems in large scale network analysis is to determine the importance of a particular node in a network. Betweenness centrality is the most widely used metric to measure the importance of a node in a network.…

Data Structures and Algorithms · Computer Science 2008-10-19 Shiva Kintali

In social network analysis, there is a common perception that influence is relevant to determine the global behavior of the society and thus it can be used to enforce cooperation by targeting an adequate initial set of individuals or to…

Computer Science and Game Theory · Computer Science 2013-07-01 Xavier Molinero , Fabián Riquelme , Maria Serna