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We extend the concept of eigenvector centrality to multiplex networks, and introduce several alternative parameters that quantify the importance of nodes in a multi-layered networked system, including the definition of vectorial-type…

Distributed algorithms for network science applications are of great importance due to today's large real-world networks. In such algorithms, a node is allowed only to have local interactions with its immediate neighbors. This is because…

Social and Information Networks · Computer Science 2019-06-21 Hamidreza Mahyar , Rouzbeh Hasheminezhad , H Eugene Stanley

Power grids vulnerability is a key issue in society. A component failure may trigger cascades of failures across the grid and lead to a large blackout. Complex network approaches have shown a direction to study some of the problems faced by…

Physics and Society · Physics 2013-04-22 Trivik Verma , Wendy Ellens , Robert E. Kooij

Identifying influential nodes and edges in directed networks remains a fundamental challenge across domains from social influence to biological regulation. Most existing centrality measures face a critical limitation: they either discard…

Social and Information Networks · Computer Science 2026-02-18 Jorge Luiz Franco , Thomas Peron , Alcebiades Dal Col , Fabiano Petronetto , Filipe Alves Neto Verri , Eric K. Tokuda , Luiz Gustavo Nonato

We present a new approach to the calculation of measures in weighted networks, based on the translation of a weighted network into an ensemble of edges. This leads to a straightforward generalization of any measure defined on unweighted…

Statistical Mechanics · Physics 2009-07-06 S. E. Ahnert , D. Garlaschelli , T. M. Fink , G. Caldarelli

The Katz centrality of a node in a complex network is a measure of the node's importance as far as the flow of information across the network is concerned. For ensembles of locally tree-like and undirected random graphs, this observable is…

Physics and Society · Physics 2024-10-02 Silvia Bartolucci , Francesco Caravelli , Fabio Caccioli , Pierpaolo Vivo

The co-occurrence association is widely observed in many empirical data. Mining the information in co-occurrence data is essential for advancing our understanding of systems such as social networks, ecosystem, and brain network. Measuring…

Information Retrieval · Computer Science 2020-07-28 Xiaomeng Wang , Yijun Ran , Tao Jia

Exploring the internal mechanism of information spreading is critical for understanding and controlling the process. Traditional spreading models often assume individuals play the same role in the spreading process. In reality, however,…

Social and Information Networks · Computer Science 2025-07-10 Chang Su , Fang Zhou , Linyuan Lü

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

A pivotal idea in network science, marketing research and innovation diffusion theories is that a small group of nodes -- called influencers -- have the largest impact on social contagion and epidemic processes in networks. Despite the…

Physics and Society · Physics 2018-12-12 Flavio Iannelli , Manuel Sebastian Mariani , Igor M. Sokolov

Understanding the spread of SARS-CoV-2 has been one of the most pressing problems of the recent past. Network models present a potent approach to studying such spreading phenomena because of their ability to represent complex social…

Social and Information Networks · Computer Science 2023-11-01 Christine Hedde-von Westernhagen , Javier Garcia-Bernardo , Ayoub Bagheri

We introduce a new centrality measure that characterizes the participation of each node in all subgraphs in a network. Smaller subgraphs are given more weight than larger ones, which makes this measure appropriate for characterizing network…

Statistical Mechanics · Physics 2009-11-11 Ernesto Estrada , Juan A. Rodriguez-Velazquez

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…

Social and Information Networks · Computer Science 2022-02-09 Lutz Oettershagen , Petra Mutzel , Nils M. Kriege

In the study of small and large networks it is customary to perform a simple random walk, where the random walker jumps from one node to one of its neighbours with uniform probability. The properties of this random walk are intimately…

Data Analysis, Statistics and Probability · Physics 2013-09-18 Jean-Charles Delvenne , Anne-Sophie Libert

This paper is concerned with distributed computation of several commonly used centrality measures in complex networks. In particular, we propose deterministic algorithms, which converge in finite time, for the distributed computation of the…

Systems and Control · Computer Science 2016-11-15 Keyou You , Roberto Tempo , Li Qiu

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…

Social and Information Networks · Computer Science 2019-10-23 Hayato Ushijima-Mwesigwa , Zadid Khan , Mashrur A. Chowdhury , Ilya Safro

The identification of influential spreaders in complex networks is a popular topic in studies of network characteristics. Many centrality measures have been proposed to address this problem, but most have limitations. In this paper, a…

Social and Information Networks · Computer Science 2019-10-08 Tao Wen , Yong Deng

This paper is concerned with distributed detection of central nodes in complex networks using closeness centrality. Closeness centrality plays an essential role in network analysis. Evaluating closeness centrality exactly requires complete…

Social and Information Networks · Computer Science 2021-06-29 Jordan F. Masakuna , Steve Kroon

In this paper, we study cascading failures in power grids through the lens of information diffusion models. Similar to the spread of rumors or influence in an online social network, it has been observed that failures (outages) in a power…

Social and Information Networks · Computer Science 2024-06-14 Bin Xiang , Bogdan Cautis , Xiaokui Xiao , Olga Mula , Dusit Niyato , Laks V. S. Lakshmanan

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…

Social and Information Networks · Computer Science 2023-02-17 Wiktoria Kosny , Oskar Skibski
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