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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…

Other Statistics · Statistics 2025-08-14 Yilin Bi , Xinshan Jiao , Tao Zhou

Betweenness centrality is a popular centrality measure with applications in several domains, and whose exact computation is impractical for modern-sized networks. We present SILVAN, a novel, efficient algorithm to compute, with high…

Data Structures and Algorithms · Computer Science 2022-06-02 Leonardo Pellegrina , Fabio Vandin

Today, there exist many centrality measures for assessing the importance of nodes in a network as a function of their position and the underlying topology. One class of such measures builds on eigenvector centrality, where the importance of…

Social and Information Networks · Computer Science 2020-02-28 James B Glattfelder

We review mathematically tractable models for connected networks on random points in the plane, emphasizing the class of proximity graphs which deserves to be better known to applied probabilists and statisticians. We introduce and motivate…

Probability · Mathematics 2011-01-06 David J. Aldous , Julian Shun

The usage of psychological networks that conceptualize psychological behavior as a complex interplay of psychological and other components has gained increasing popularity in various fields of psychology. While prior publications have…

Applications · Statistics 2017-01-23 Sacha Epskamp , Denny Borsboom , Eiko I. Fried

In this paper, we empirically investigate correlations among four centrality measures, originated from the social science, of various complex networks. For each network, we compute the centrality measures, from which the partial correlation…

Physics and Society · Physics 2007-05-23 Chang-Yong Lee

With the growing popularity of mobile smart devices, the existing networks are unable to meet the requirement of many complex scenarios; current network architectures and protocols do not work well with the network with high latency and…

Networking and Internet Architecture · Computer Science 2016-01-08 Huijuan Zhang , Kai Liu

There have lately been several suggestions for parametrized distances on a graph that generalize the shortest path distance and the commute time or resistance distance. The need for developing such distances has risen from the observation…

Machine Learning · Statistics 2015-03-17 Ilkka Kivimäki , Masashi Shimbo , Marco Saerens

There are several applications that benefit from a definition of centrality which is applicable to sets of vertices, rather than individual vertices. However, existing definitions might not be able to help us in answering several network…

Social and Information Networks · Computer Science 2020-10-05 Mostafa Haghir Chehreghani

Social and information networks may become polarized, leading to echo chambers and political gridlock. Accurately measuring this phenomenon is a critical challenge. Existing measures often conflate genuine structural division with random…

Social and Information Networks · Computer Science 2025-12-04 Giulia Preti , Matteo Riondato , Aristides Gionis , Gianmarco De Francisci Morales

Complex networks can model the structure and dynamics of different types of systems. It has been shown that they are characterized by a set of measures. In this work, we evaluate the variability of complex networks measures face to…

Physics and Society · Physics 2015-06-22 Raquel Cabral , Alejandro Frery , Jaime Ramírez

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

To measure node importance, network scientists employ centrality scores that typically take a microscopic or macroscopic perspective, relying on node features or global network structure. However, traditional centrality measures such as…

Social and Information Networks · Computer Science 2022-08-18 Christopher Blöcker , Juan Carlos Nieves , Martin Rosvall

We introduce a quantitative method to compare arbitrary pairs of graph centrality measures, based on the ordering of vertices induced by them. The proposed method is conceptually simple, mathematically elegant, and allows for a quantitative…

Social and Information Networks · Computer Science 2026-01-26 G. Exarchakos , R. van der Hofstad , O. Nagy , M. Pandey

We perform factor analysis on the raw data of the four major neighborhood and shortest paths-based centrality metrics (Degree, Eigenvector, Betweeenness and Closeness) and propose a novel quantitative measure called the…

Social and Information Networks · Computer Science 2023-10-11 Natarajan Meghanathan

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…

Numerical Analysis · Mathematics 2015-07-09 Michele Benzi , Christine Klymko

Centrality metrics have become a popular concept in network science and optimization. Over the years, centrality has been used to assign importance and identify influential elements in various settings, including transportation,…

Social and Information Networks · Computer Science 2024-05-07 Mustafa Can Camur , Chrysafis Vogiatzis

With the pervasiveness of Stochastic Shortest-Path (SSP) problems in high-risk industries, such as last-mile autonomous delivery and supply chain management, robust planning algorithms are crucial for ensuring successful task completion…

Artificial Intelligence · Computer Science 2024-08-19 Clinton Enwerem , Erfaun Noorani , John S. Baras , Brian M. Sadler

This paper introduces a novel framework that combines traditional centrality measures with eigenvalue spectra and diffusion processes for a more comprehensive analysis of complex networks. While centrality measures such as degree,…

Other Computer Science · Computer Science 2025-03-28 Arsh Jha

We investigate algorithms to find short paths in spatial networks with stochastic edge weights. Our formulation of the problem of finding short paths differs from traditional formulations because we specifically do not make two of the usual…

Social and Information Networks · Computer Science 2013-09-06 Till Hoffmann , Renaud Lambiotte , Mason A. Porter
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