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Network metrics form a fundamental part of the network analysis toolbox. Used to quantitatively measure different aspects of the network, these metrics can give insights into the underlying network structure and function. In this work, we…

Machine Learning · Statistics 2015-06-04 Harold Soh

The ubiquity of social platforms has reshaped the way information, behaviors, and advertisements diffuse across networks, with influence propagation often initiated by a small set of ``seed'' users. While much of the literature emphasizes…

Social and Information Networks · Computer Science 2026-05-28 Fangzhu Shen , Amir Gilad , Sudeepa Roy

In social and biological systems, the structural heterogeneity of interaction networks gives rise to the emergence of a small set of influential nodes, or influencers, in a series of dynamical processes. Although much smaller than the…

Physics and Society · Physics 2018-05-04 Sen Pei , Flaviano Morone , Hernán A. Makse

The roles of different nodes within a network are often understood through centrality analysis, which aims to quantify the capacity of a node to influence, or be influenced by, other nodes via its connection topology. Many different…

Social and Information Networks · Computer Science 2020-07-01 Stuart Oldham , Ben Fulcher , Linden Parkes , Aurina Arnatkeviciute , Chao Suo , Alex Fornito

Spectral centrality measures allow to identify influential individuals in social groups, to rank Web pages by their popularity, and even to determine the impact of scientific researches. The centrality score of a node within a network…

Physics and Society · Physics 2011-09-22 Vincenzo Nicosia , Regino Criado , Miguel Romance , Giovanni Russo , Vito Latora

Centrality, which quantifies the "importance" of individual nodes, is among the most essential concepts in modern network theory. Most prominent centrality measures can be expressed as an aggregation of influence flows between pairs of…

Physics and Society · Physics 2021-06-04 Aleks J. Gurfinkel , Per Arne Rikvold

Identifying influential nodes in a network is a fundamental issue due to its wide applications, such as accelerating information diffusion or halting virus spreading. Many measures based on the network topology have emerged over the years…

Social and Information Networks · Computer Science 2022-12-26 Zakariya Ghalmane , Mohammed El Hassouni , Chantal Cherifi , Hocine Cherifi

Complex contagion phenomena, such as the spread of information or contagious diseases, often occur among the population due to higher-order interactions between individuals. Individuals who can be represented by nodes in a network may play…

Physics and Society · Physics 2024-04-02 Su-Su Zhang , Xiaoyan Yu , Gui-Quan Sun , Chuang Liu , Xiu-Xiu Zhan

A serious challenge when finding influential actors in real-world social networks is the lack of knowledge about the structure of the underlying network. Current state-of-the-art methods rely on hand-crafted sampling algorithms; these…

Social and Information Networks · Computer Science 2020-02-21 Harshavardhan Kamarthi , Priyesh Vijayan , Bryan Wilder , Balaraman Ravindran , Milind Tambe

We propose a decentralized learning algorithm over a general social network. The algorithm leaves the training data distributed on the mobile devices while utilizing a peer to peer model aggregation method. The proposed algorithm allows…

Machine Learning · Statistics 2019-05-28 Anusha Lalitha , Xinghan Wang , Osman Kilinc , Yongxi Lu , Tara Javidi , Farinaz Koushanfar

Centrality is one of the most fundamental metrics in network science. Despite an abundance of methods for measuring centrality of individual vertices, there are by now only a few metrics to measure centrality of individual edges. We modify…

Physics and Society · Physics 2019-09-25 Timo Bröhl , Klaus Lehnertz

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…

Social and Information Networks · Computer Science 2013-11-08 Paolo Boldi , Sebastiano Vigna

When analyzing the statistical and topological characteristics of complex networks, an effective and convenient way is to compute the centralities for recognizing influential and significant nodes or structures, yet most of them are…

Social and Information Networks · Computer Science 2018-05-08 Xiangnan Feng , Wei Wei , Jiannan Wang , Ying Shi , Zhiming Zheng

Many mobile networks are represented as graphs to obtain insight to their connectivity and transmission properties. Among these properties centrality resilience, that is, how well centralities, such as closeness and betweennesss, are…

Social and Information Networks · Computer Science 2024-07-10 Fariba Afrin Irany , Soumya Sarakar , Animesh Mukherjee , Sanjukta Bhowmick

In this paper, we introduce past-aware game-theoretic centrality, a class of centrality measures that captures the collaborative contribution of nodes in a network, accounting for both uncertain and certain collaborators. A general…

Social and Information Networks · Computer Science 2025-12-02 Francesco Zigliotto

Several centrality measures have been formulated to quantify the notion of 'importance' of actors in social networks. Current measures scrutinize either local or global connectivity of the nodes and have been found to be inadequate for…

Social and Information Networks · Computer Science 2018-06-26 Rakhi Saxena , Sharanjit Kaur , Vasudha Bhatnagar

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

This work initiates a systematic investigation of testing high-dimensional structured distributions by focusing on testing Bayesian networks -- the prototypical family of directed graphical models. A Bayesian network is defined by a…

Data Structures and Algorithms · Computer Science 2020-01-28 Clement Canonne , Ilias Diakonikolas , Daniel Kane , Alistair Stewart

We investigate how the topology of attributed graphs influences the distribution of node attributes. This work offers a novel perspective by treating topology and attributes as structurally distinct but interacting components. We introduce…

Machine Learning · Computer Science 2026-02-03 Amirreza Shiralinasab Langari , Leila Yeganeh , Kim Khoa Nguyen

Computing classical centrality measures such as betweenness and closeness is computationally expensive on large-scale graphs. In this work, we introduce an efficient force layout algorithm that embeds a graph into a low-dimensional space,…

Social and Information Networks · Computer Science 2026-04-29 Alexander Kolpakov , Igor Rivin