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Betweenness is a measure of the centrality of a node in a network, and is normally calculated as the fraction of shortest paths between node pairs that pass through the node of interest. Betweenness is, in some sense, a measure of the…

统计力学 · 物理学 2007-05-23 M. E. J. Newman

Identification of influential nodes is an important step in understanding and controlling the dynamics of information, traffic and spreading processes in networks. As a result, a number of centrality measures have been proposed and used…

社会与信息网络 · 计算机科学 2019-10-23 Hayato Ushijima-Mwesigwa , Zadid Khan , Mashrur A. Chowdhury , Ilya Safro

We perform the first axiomatic analysis of medial centrality measures. These measures, also called betweenness-like centralities, assess the role of a node in connecting others in the network. We focus on a setting with one target node and…

社会与信息网络 · 计算机科学 2023-02-17 Wiktoria Kosny , Oskar Skibski

We propose the Temporal Walk Centrality, which quantifies the importance of a node by measuring its ability to obtain and distribute information in a temporal network. In contrast to the widely-used betweenness centrality, we assume that…

社会与信息网络 · 计算机科学 2022-02-09 Lutz Oettershagen , Petra Mutzel , Nils M. Kriege

Centrality, which quantifies the "importance" of individual nodes, is among the most essential concepts in modern network theory. As there are many ways in which a node can be important, many different centrality measures are in use. Here,…

物理与社会 · 物理学 2020-02-03 Aleks J. Gurfinkel , Per Arne Rikvold

Centrality is an important notion in network analysis and is used to measure the degree to which network structure contributes to the importance of a node in a network. While many different centrality measures exist, most of them apply to…

计算机与社会 · 计算机科学 2010-06-04 Kristina Lerman , Rumi Ghosh , Jeon Hyung Kang

This paper introduces two new closely related betweenness centrality measures based on the Randomized Shortest Paths (RSP) framework, which fill a gap between traditional network centrality measures based on shortest paths and more recent…

社会与信息网络 · 计算机科学 2016-02-03 Ilkka Kivimäki , Bertrand Lebichot , Jari Saramäki , Marco Saerens

The identification of the most influential spreaders in networks is important to control and understand the spreading capabilities of the system as well as to ensure an efficient information diffusion such as in rumor-like dynamics. Recent…

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…

社会与信息网络 · 计算机科学 2026-03-12 Kosti Koistinen , Vesa Kuikka , Kimmo Kaski

Identifying the central people in information flow networks is essential to understanding how people communicate and coordinate as well as who controls the information flows in the network. However, the appropriate usage of centrality…

社会与信息网络 · 计算机科学 2018-12-17 Chintan Amrit , Joanne ter Maat

Temporal networks, whose links are activated or deactivated over time, are used to represent complex systems such as social interactions or collaborations occurring at specific times. Such networks facilitate the spread of information and…

社会与信息网络 · 计算机科学 2025-02-27 Tianrui Mao , Shilun Zhang , Alan Hanjalic , Huijuan Wang

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…

物理与社会 · 物理学 2021-01-25 Francis Bloch , Matthew O. Jackson , Pietro Tebaldi

There are several centrality measures that have been introduced and studied for real world networks. They account for the different vertex characteristics that permit them to be ranked in order of importance in the network. Betweenness…

组合数学 · 数学 2014-03-20 Sunil Kumar R , Kannan Balakrishnan , M. Jathavedan

Numerous centrality measures have been proposed to evaluate the importance of nodes in networks, yet comparative analyses of these measures remain limited. Based on 80 real-world networks, we conducted an empirical analysis of 16…

其他统计学 · 统计学 2025-08-14 Yilin Bi , Xinshan Jiao , Tao Zhou

Centrality is a key property of complex networks that influences the behavior of dynamical processes, like synchronization and epidemic spreading, and can bring important information about the organization of complex systems, like our brain…

物理与社会 · 物理学 2019-01-24 Francisco Aparecido Rodrigues

We consider a broad class of walk-based, parameterized node centrality measures for network analysis. These measures are expressed in terms of functions of the adjacency matrix and generalize various well-known centrality indices, including…

数值分析 · 数学 2015-07-09 Michele Benzi , Christine Klymko

Identifying the most influential spreaders is an important issue in controlling the spreading processes in complex networks. Centrality measures are used to rank node influence in a spreading dynamics. Here we propose a node influence…

物理与社会 · 物理学 2016-03-23 Ying Liu , Ming Tang , Tao Zhou , Younghae Do

Classic measures of graph centrality capture distinct aspects of node importance, from the local (e.g., degree) to the global (e.g., closeness). Here we exploit the connection between diffusion and geometry to introduce a multiscale…

物理与社会 · 物理学 2020-07-29 Alexis Arnaudon , Robert L. Peach , Mauricio Barahona

The roles of different nodes within a network are often understood through centrality analysis, which aims to quantify the capacity of a node to influence, or be influenced by, other nodes via its connection topology. Many different…

社会与信息网络 · 计算机科学 2020-07-01 Stuart Oldham , Ben Fulcher , Linden Parkes , Aurina Arnatkeviciute , Chao Suo , Alex Fornito

Measures of complex network analysis, such as vertex centrality, have the potential to unveil existing network patterns and behaviors. They contribute to the understanding of networks and their components by analyzing their structural…

社会与信息网络 · 计算机科学 2018-11-06 Felipe Grando , Diego Noble , Luis C. Lamb
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