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We derive a composite centrality measure for general weighted and directed complex networks, based on measure standardisation and invariant statistical inheritance schemes. Different schemes generate different intermediate abstract measures…

Methodology · Statistics 2014-01-21 Andreas Joseph , Guanrong Chen

We investigate the problem of enforcing a desired centrality measure in complex networks, while still keeping the original pattern of the network. Specifically, by representing the network as a graph with suitable nodes and weighted edges,…

Physics and Society · Physics 2025-03-13 Stefano Cipolla , Fabio Durastante , Beatrice Meini

Centrality measures have been defined to quantify the importance of a node in complex networks. The relative importance of a node can be measured using its centrality rank based on the centrality value. In the present work, we predict the…

Social and Information Networks · Computer Science 2016-11-29 Akrati Saxena , Vaibhav Malik , S. R. S. Iyengar

Most network studies rely on an observed network that differs from the underlying network which is obfuscated by measurement errors. It is well known that such errors can have a severe impact on the reliability of network metrics,…

Social and Information Networks · Computer Science 2020-01-09 Christoph Martin , Peter Niemeyer

In this paper, we present a framework for studying the following fundamental question in network analysis: How should one assess the centralities of nodes in an information/influence propagation process over a social network? Our framework…

Social and Information Networks · Computer Science 2018-10-24 Wei Chen , Shang-Hua Teng , Hanrui Zhang

Contemporary time series data often feature objects connected by a social network that naturally induces temporal dependence involving connected neighbours. The network vector autoregressive model is useful for describing the influence of…

Methodology · Statistics 2023-09-18 Weichi Wu , Chenlei Leng

The problem of assigning centrality values to nodes and edges in graphs has been widely investigated during last years. Recently, a novel measure of node centrality has been proposed, called k-path centrality index, which is based on the…

Social and Information Networks · Computer Science 2013-03-08 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Angela Ricciardello

Many real world systems can be expressed as complex networks of interconnected nodes. It is frequently important to be able to quantify the relative importance of the various nodes in the network, a task accomplished by defining some…

Physics and Society · Physics 2016-08-08 José Ricardo Furlan Ronqui , Gonzalo Travieso

In ATM systems, the massive number of interacting entities makes it difficult to identify critical elements and paths of disturbance propagation, as well as to predict the system-wide effects that innovations might have. To this end,…

Physics and Society · Physics 2021-05-07 Piero Mazzarisi , Silvia Zaoli , Fabrizio Lillo , Luis Delgado , Gérald Gurtner

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

Centrality measures are crucial in quantifying the influence of the members of a social network. Although there has been a great deal of work dealing with this issue, the vast majority of classical centrality measures are agnostic of the…

Social and Information Networks · Computer Science 2022-02-01 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

Information flow, opinion, and epidemics spread over structured networks. When using individual node centrality indicators to predict which nodes will be among the top influencers or spreaders in a large network, no single centrality has…

Social and Information Networks · Computer Science 2020-11-30 Doina Bucur

Targeting influential nodes in complex networks allows fastening or hindering rumors, epidemics, and electric blackouts. Since communities are prevalent in real-world networks, community-aware centrality measures exploit this information to…

Social and Information Networks · Computer Science 2022-02-02 Stephany Rajeh , Ali Yassin , Ali Jaber , Hocine Cherifi

Centrality is a fundamental network property which ranks nodes by their structural importance. However, structural importance may not suffice to predict successful diffusions in a wide range of applications, such as word-of-mouth marketing…

Social and Information Networks · Computer Science 2019-03-05 Yan Leng , Yehonatan Sella , Rodrigo Ruiz , Alex Pentland

We construct and study a class of spectral graph wavelets by analogy with Hermitian wavelets on the real line. We provide a localization result that significantly improves upon those previously available, enabling application to highly…

Functional Analysis · Mathematics 2020-10-05 Zach Gelbaum , Mathew Titus , James Watson

Network centralization, driven by hub nodes, impacts communication efficiency, structural integration, and dynamic processes such as diffusion and synchronization. Although numerous centralization measures exist, a major challenge lies in…

Social and Information Networks · Computer Science 2025-12-01 Majid Saberi , Samin Aref

We examine two-layer networks and centrality measures defined on them. We propose two fast and accurate algorithms to approximate the game-theoretic centrality measures and examine connection between centrality measures and characteristics…

Physics and Society · Physics 2025-10-30 Chi Zhao , Elena Parilina

Learning from time series is fundamentally different from learning from i.i.d.\ data: temporal dependence can make long sequences effectively information-poor, yet standard evaluation protocols conflate sequence length with statistical…

Machine Learning · Computer Science 2026-03-05 Barak Gahtan , Alex M. Bronstein

Motifs are thought to be some fundamental components of social face-to-face interaction temporal networks. However, the motifs previously considered are either limited to a handful of nodes and edges, or do not include triangles, which are…

Physics and Society · Physics 2025-05-19 Didier Le Bail

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…

Econometrics · Economics 2025-02-26 Junhui Cai , Dan Yang , Ran Chen , Wu Zhu , Haipeng Shen , Linda Zhao