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We perform the first axiomatic analysis of medial centrality measures. These measures, also called betweenness-like centralities, assess the role of a node in connecting others in the network. We focus on a setting with one target node and…

Social and Information Networks · Computer Science 2023-02-17 Wiktoria Kosny , Oskar Skibski

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

Decentralized coordination is one of the fundamental challenges for societies and organizations. While extensively explored from a variety of perspectives, one issue which has received limited attention is human coordination in the presence…

Social and Information Networks · Computer Science 2018-08-06 Chen Hajaj , Sixie Yu , Zlatko Joveski , Yevgeniy Vorobeychik

Complex networks topologies present interesting and surprising properties, such as community structures, which can be exploited to optimize communication, to find new efficient and context-aware routing algorithms or simply to understand…

Data Analysis, Statistics and Probability · Physics 2009-03-24 V. Nicosia , G. Mangioni , V. Carchiolo , M. Malgeri

We propose an efficient and accurate measure for ranking spreaders and identifying the influential ones in spreading processes in networks. While the edges determine the connections among the nodes, their specific role in spreading should…

Physics and Society · Physics 2017-09-06 Ying Liu , Ming Tang , Younghae Do , Pak Ming Hui

Identifying important actors (or nodes) in a two-mode network often remains a crucial challenge in mining, analyzing, and interpreting real-world networks. While traditional bipartite centrality indices are often used to recognize key nodes…

Social and Information Networks · Computer Science 2022-12-21 Mohamed-Hamza Ibrahim , Rokia Missaoui , Jean Vaillancourt

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

This paper proposes an alternative way to identify nodes with high betweenness centrality. It introduces a new metric, k-path centrality, and a randomized algorithm for estimating it, and shows empirically that nodes with high k-path…

Data Structures and Algorithms · Computer Science 2017-02-23 Nicolas Kourtellis , Tharaka Alahakoon , Ramanuja Simha , Adriana Iamnitchi , Rahul Tripathi

In this work, we consider a strongly connected group of individuals involved in decision-making. The opinions of the individuals evolve using the Friedkin-Johnsen (FJ) model. We consider that there are two competing `influencers' (stubborn…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Aashi Shrinate , Twinkle Tripathy

Social networks inherently exhibit complex relationships that can be positive or negative, as well as directional. Understanding balance in these networks is crucial for unraveling social dynamics, yet traditional theories struggle to…

Physics and Society · Physics 2024-11-11 Bingjie Hao , Elijah Platnick , István A. Kovács

We formulate and propose an algorithm (MultiRank) for the ranking of nodes and layers in large multiplex networks. MultiRank takes into account the full multiplex network structure of the data and exploits the dual nature of the network in…

Physics and Society · Physics 2018-03-06 Christoph Rahmede , Jacopo Iacovacci , Alex Arenas , Ginestra Bianconi

It is of paramount importance to uncover influential nodes to control diffusion phenomena in a network. In recent works, there is a growing trend to investigate the role of the community structure to solve this issue. Up to now, the vast…

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

A large number of complex systems, naturally emerging in various domains, are well described by directed networks, resulting in numerous interesting features that are absent from their undirected counterparts. Among these properties is a…

Physics and Society · Physics 2021-05-19 Joseph D. O'Brien , Kleber A. Oliveira , James P. Gleeson , Malbor Asllani

In recent years, the problem of identifying the spreading ability and ranking social network users according to their influence has attracted a lot of attention; different approaches have been proposed for this purpose. Most of these…

Social and Information Networks · Computer Science 2021-11-09 Ahmad Zareie , Amir Sheikhahmadi , Rizos Sakellariou

In adversarial networks, edges correspond to negative interactions such as competition or dominance. We introduce a new type of node called a low-key leader in adversarial networks, distinguished by contrasting the centrality measures of…

Social and Information Networks · Computer Science 2022-06-07 Anthony Bonato , Joey Kapusin , Jiajie Yuan

The notions of subgraph centrality and communicability, based on the exponential of the adjacency matrix of the underlying graph, have been effectively used in the analysis of undirected networks. In this paper we propose an extension of…

Numerical Analysis · Mathematics 2013-01-29 Michele Benzi , Ernesto Estrada , Christine Klymko

Understanding the importance of links in transmitting information in a network can provide ways to hinder or postpone ongoing dynamical phenomena like the spreading of epidemic or the diffusion of information. In this work, we propose a new…

Social and Information Networks · Computer Science 2018-02-16 Qian Zhang , Márton Karsai , Alessandro Vespignani

To identify communities in directed networks, we propose a generalized form of modularity in directed networks by introducing a new quantity LinkRank, which can be considered as the PageRank of links. This generalization is consistent with…

Physics and Society · Physics 2010-01-11 Youngdo Kim , Seung-Woo Son , Hawoong Jeong

The world around us consists of objects that have different relationships with each other. The result of these communications is various networks, part of which are bipartite networks. While many studies have investigated essential network…

Social and Information Networks · Computer Science 2021-12-03 Ali Hojjat , Ghazaleh Haddad

In various applications involving complex networks, network measures are employed to assess the relative importance of network nodes. However, the robustness of such measures in the presence of link inaccuracies has not been well…

Physics and Society · Physics 2014-01-15 John Platig , Ed Ott , Michelle Girvan