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Social networks are discrete systems with a large amount of heterogeneity among nodes (individuals). Measures of centrality aim at a quantification of nodes' importance for structure and function. Here we ask to which extent the most…

物理与社会 · 物理学 2013-06-12 Konstantin Klemm

Betweenness centrality lies at the core of both transport and structural vulnerability properties of complex networks, however, it is computationally costly, and its measurement for networks with millions of nodes is near impossible. By…

物理与社会 · 物理学 2015-05-18 Maria Ercsey-Ravasz , Zoltan Toroczkai

Here we present a range-limited approach to centrality measures in both non-weighted and weighted directed complex networks. We introduce an efficient method that generates for every node and every edge its betweenness centrality based on…

物理与社会 · 物理学 2011-11-24 Maria Ercsey-Ravasz , Ryan Lichtenwalter , Nitesh V. Chawla , Zoltan Toroczkai

The central points of communication network flow has often been identified using graph theoretical centrality measures. In real networks, the state of traffic density arises from an interplay between the dynamics of the flow and the…

无序系统与神经网络 · 物理学 2007-05-23 Petter Holme

The centrality in a network is often used to measure nodes' importance and model network effects on a certain outcome. Empirical studies widely adopt a two-stage procedure, which first estimates the centrality from the observed noisy…

计量经济学 · 经济学 2025-02-26 Junhui Cai , Dan Yang , Ran Chen , Wu Zhu , Haipeng Shen , Linda Zhao

Network classification aims to group networks (or graphs) into distinct categories based on their structure. We study the connection between classification of a network and of its constituent nodes, and whether nodes from networks in…

社会与信息网络 · 计算机科学 2022-08-04 Saray Shai , Isaac Jacobs , Peter J. Mucha

Street network analysis holds appeal as a tool for the assessment of pedestrian connectivity and its relation to the intensity and mix of land-uses; however, application within urban-design triggers a range of questions on implementary…

物理与社会 · 物理学 2021-07-02 Gareth D. Simons

Network centrality plays an important role in many applications. Central nodes in social networks can be influential, driving opinions and spreading news or rumors.In hyperlinked environments, such as the Web, where users navigate via…

社会与信息网络 · 计算机科学 2017-10-11 Sourav Medya , Arlei Silva , Ambuj Singh , Prithwish Basu , Ananthram Swami

Given a social network, which of its nodes are more central? This question has been asked many times in sociology, psychology and computer science, and a whole plethora of centrality measures (a.k.a. centrality indices, or rankings) were…

数据结构与算法 · 计算机科学 2013-08-13 Paolo Boldi , Sebastiano Vigna

The spectral properties of the adjacency matrix provide a trove of information about the structure and function of complex networks. In particular, the largest eigenvalue and its associated principal eigenvector are crucial in the…

物理与社会 · 物理学 2016-01-14 Romualdo Pastor-Satorras , Claudio Castellano

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.…

数据结构与算法 · 计算机科学 2008-10-19 Shiva Kintali

In recent years, there has been an increasing awareness to traffic localization techniques driven by the emergence of heterogeneous networks (HetNet) with small cells deployment and the green networks. The localization of hotspot data…

网络与互联网体系结构 · 计算机科学 2016-11-17 Aymen Jaziri , Ridha Nasri , Tijani Chahed

Identifying important nodes for disease spreading is a central topic in network epidemiology. We investigate how well the position of a node, characterized by standard network measures, can predict its epidemiological importance in any…

种群与进化 · 定量生物学 2020-07-28 Doina Bucur , Petter Holme

There are different measures to classify a network's data set that, depending on the problem, have different success. For example, the resistance distance and eigenvector centrality measures have been successful in revealing ecological…

物理与社会 · 物理学 2021-02-03 Caracé Gutiérrez , Juan Gancio , Cecilia Cabeza , Nicolás Rubido

We study the popular centrality measure known as effective conductance or in some circles as information centrality. This is an important notion of centrality for undirected networks, with many applications, e.g., for random walks,…

数据分析、统计与概率 · 物理学 2018-08-15 Heman Shakeri , Behnaz Moradi-Jamei , Pietro Poggi-Corradini , Nathan Albin , Caterina Scoglio

Data classification is a major machine learning paradigm, which has been widely applied to solve a large number of real-world problems. Traditional data classification techniques consider only physical features (e.g., distance, similarity,…

机器学习 · 计算机科学 2020-11-12 Esteban Vilca , Liang Zhao

Centrality indices are used to rank the nodes of a graph by importance: this is a common need in many concrete situations (social networks, citation networks, web graphs, for instance) and it was discussed many times in sociology,…

社会与信息网络 · 计算机科学 2025-11-25 Paolo Boldi , Flavio Furia , Chiara Prezioso

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…

统计力学 · 物理学 2009-11-11 Ernesto Estrada , Juan A. Rodriguez-Velazquez

In complex networks a common task is to identify the most important or "central" nodes. There are several definitions, often called centrality measures, which often lead to different results. Here we study extensively correlations between…

物理与社会 · 物理学 2009-11-13 Magnus Jungsbluth , Bernd Burghardt , Alexander K. Hartmann

Numerous centrality measures have been developed to quantify the importances of nodes in time-independent networks, and many of them can be expressed as the leading eigenvector of some matrix. With the increasing availability of network…

物理与社会 · 物理学 2016-09-22 Dane Taylor , Sean A. Myers , Aaron Clauset , Mason A. Porter , Peter J. Mucha