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Much of the past work in network analysis has focused on analyzing discrete graphs, where binary edges represent the "presence" or "absence" of a relationship. Since traditional network measures (e.g., betweenness centrality) utilize a…

Social and Information Networks · Computer Science 2011-04-05 Joseph J. Pfeiffer , Jennifer Neville

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 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…

Disordered Systems and Neural Networks · Physics 2007-05-23 Petter Holme

Experts from several disciplines have been widely using centrality measures for analyzing large as well as complex networks. These measures rank nodes/edges in networks by quantifying a notion of the importance of nodes/edges. Ranking aids…

Social and Information Networks · Computer Science 2020-11-04 Rishi Ranjan Singh

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

We propose a betweenness centrality measure and algorithms for stochastic networks, where edges can fail and weights vary across realizations, making the most central node random. Our approach models the sequence of reported central nodes…

Social and Information Networks · Computer Science 2026-05-19 Wencheng Bao , Eleftheria Kontou , Chrysafis Vogiatzis

Influential nodes play a critical role in boosting or curbing spreading phenomena in complex networks. Numerous centrality measures have been proposed for identifying and ranking the nodes according to their importance. Classical centrality…

Social and Information Networks · Computer Science 2022-05-17 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

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

Optimizing the stability and control performance of complex networks often hinges on effectively identifying critical nodes for targeted intervention. Due to their inherent complexity and high dimensionality, large-scale energy flow…

Physics and Society · Physics 2025-08-26 Yi Li , Xin Li

We present a study of transport on complex networks with routing based on local information. Particles hop from one node of the network to another according to a set of routing rules with different degrees of congestion awareness, ranging…

Statistical Mechanics · Physics 2007-07-12 Bogdan Danila , Yong Yu , Samuel Earl , John A. Marsh , Zoltan Toroczkai , Kevin E. Bassler

Real-world complex systems exhibit multiple levels of relationships. In many cases they require to be modeled as interconnected multilayer networks, characterizing interactions of several types simultaneously. It is of crucial importance in…

Physics and Society · Physics 2024-12-06 Albert Solé-Ribalta , Manlio De Domenico , Sergio Gómez , Alex Arenas

The emergence of congestion is a critical phenomenon in transport systems. Transport is organized along pathways abstracted by links, which connect different nodes as regions to form the network. The modeling of traffic has so far mainly…

Physics and Society · Physics 2023-03-23 Zhidong He

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,…

Data Analysis, Statistics and Probability · Physics 2018-08-15 Heman Shakeri , Behnaz Moradi-Jamei , Pietro Poggi-Corradini , Nathan Albin , Caterina Scoglio

Centrality measures are used in network science to evaluate the centrality of vertices or the position they occupy in a network. There are a large number of centrality measures according to some criterion. However, the generalizations of…

Social and Information Networks · Computer Science 2021-06-21 Hélder Alves , Paula Brito , Pedro Campos

We study the emergence of congestion patterns in urban networks by modeling vehicular interaction by means of a simple traffic rule and by using a set of measures inspired by the standard Betweenness Centrality (BC). We consider a…

Physics and Society · Physics 2022-07-25 Marco Cogoni , Giovanni Busonera , Francesco Versaci

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

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…

Social and Information Networks · Computer Science 2017-10-11 Sourav Medya , Arlei Silva , Ambuj Singh , Prithwish Basu , Ananthram Swami

Betweenness centrality is a metric that seeks to quantify a sense of the importance of a vertex in a network graph in terms of its "control" on the distribution of information along geodesic paths throughout that network. This quantity…

Networking and Internet Architecture · Computer Science 2009-08-28 Eric D. Kolaczyk , David B. Chua , Marc Barthelemy

We provide a framework for determining the centralities of agents in a broad family of random networks. Current understanding of network centrality is largely restricted to deterministic settings, but practitioners frequently use random…

Social and Information Networks · Computer Science 2022-02-07 Krishna Dasaratha

Influential nodes in complex networks are typically defined as those nodes that maximize the asymptotic reach of a spreading process of interest. However, for practical applications such as viral marketing and online information spreading,…

Social and Information Networks · Computer Science 2019-03-18 Fang Zhou , Linyuan Lü , Manuel Sebastian Mariani