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Most of the analyses concerning signed networks have focused on the balance theory, hence identifying frustration with undirected, triadic motifs having an odd number of negative edges; much less attention has been paid to their directed…

Physics and Society · Physics 2025-04-07 Anna Gallo , Fabio Saracco , Renaud Lambiotte , Diego Garlaschelli , Tiziano Squartini

We present a novel approach to the measurement of American state legislature polarization with an experimental comparison of three different machine learning algorithms. Our approach strictly relies on public data sources and open source…

Computers and Society · Computer Science 2020-08-11 Gabriel Mersy , Vincent Santore , Isaac Rand , Corrine Kleinman , Grant Wilson , Jason Bonsall , Tyler Edwards

Signed graphs are an emergent way of representing data in a variety of contexts where antagonistic interactions exist. These include data from biological, ecological, and social systems. Here we propose the concept of communicability for…

Metric Geometry · Mathematics 2025-03-20 Fernando Diaz-Diaz , Ernesto Estrada

A signed graph offers richer information than an unsigned graph, since it describes both collaborative and competitive relationships in social networks. In this paper, we study opinion dynamics on a signed graph, based on the…

Social and Information Networks · Computer Science 2024-07-18 Xiaotian Zhou , Haoxin Sun , Wanyue Xu , Wei Li , Zhongzhi Zhang

Recent successes in word embedding and document embedding have motivated researchers to explore similar representations for networks and to use such representations for tasks such as edge prediction, node label prediction, and community…

Machine Learning · Statistics 2019-04-09 Mohammad Raihanul Islam , B. Aditya Prakash , Naren Ramakrishnan

Politics around the world exhibits increasing polarization, demonstrated in part by rigid voting configurations in institutions like legislatures or courts. A crux of polarization is separation along a unidimensional ideological axis, but…

Physics and Society · Physics 2025-12-12 Edward D. Lee

Structural balance theory has been developed in sociology and psychology to explain how interacting agents, e.g., countries, political parties, opinionated individuals, with mixed trust and mistrust relationships evolve into polarized…

Social and Information Networks · Computer Science 2016-05-27 Weiguo Xia , Ming Cao , Karl Henrik Johansson

Signed graphs are equipped with both positive and negative edge weights, encoding pairwise correlations as well as anti-correlations in data. A balanced signed graph is a signed graph with no cycles containing an odd number of negative…

Machine Learning · Computer Science 2025-06-03 Haruki Yokota , Hiroshi Higashi , Yuichi Tanaka , Gene Cheung

Autonomous robotics is critically affected by the robustness of its scene understanding algorithms. We propose a two-axis pipeline based on polarization indices to analyze dynamic urban scenes. As robots evolve in unknown environments, they…

Computer Vision and Pattern Recognition · Computer Science 2021-06-04 Marc Blanchon , Désiré Sidibé , Olivier Morel , Ralph Seulin , Fabrice Meriaudeau

There is growing concern that over the past decade, industrialized democratic nations are becoming increasingly politically polarized. Indeed, elections in the US, UK, France, and Germany have all seen tightly won races, with notable…

Applications · Statistics 2023-03-07 Dennies Bor , Benjamin Seiyon Lee , Edward J. Oughton

We introduce a socially motivated extension of the voter model in which individual voters are also influenced by two opposing, fixed-opinion news sources. These sources forestall consensus and instead drive the population to a politically…

Physics and Society · Physics 2020-01-27 Deepak Bhat , S. Redner

Structural balance is an important characteristic of graphs/networks where edges can be positive or negative, with direct impact on the study of real-world complex systems. When a network is not structurally balanced, it is important to…

Social and Information Networks · Computer Science 2024-06-17 Yu Tian , Ernesto Estrada

Signed networks are frequently observed in real life with additional sign information associated with each edge, yet such information has been largely ignored in existing network models. This paper develops a unified embedding model for…

Social and Information Networks · Computer Science 2023-10-17 Haoran Zhang , Junhui Wang

We consider a nonlinear dynamical system on a signed graph, which can be interpreted as a mathematical model of social networks in which the links can have both positive and negative connotations. In accordance with a concept from social…

Social and Information Networks · Computer Science 2015-06-16 Tyler H. Summers , Iman Shames

Signed networks with positive and negative interaction are widely observed in the real systems. The negative links would induce frustration, then affect global properties of the system. Based on previous studies, frustration of signed…

Statistical Mechanics · Physics 2018-10-25 Jiayu Cao , Ying Fan , Zengru Di

Structural balance modeling for signed graph networks presents how to model the sources of conflicts. The state-of-the-art focuses on computing the frustration index of a signed graph, a critical step toward solving problems in social and…

Social and Information Networks · Computer Science 2025-01-16 Muhieddine Shebaro , Jelena Tešić

The rise of social media and online social networks has been a disruptive force in society. Opinions are increasingly shaped by interactions on online social media, and social phenomena including disagreement and polarization are now…

Social and Information Networks · Computer Science 2017-12-29 Cameron Musco , Christopher Musco , Charalampos E. Tsourakakis

Nonlinear networked systems are of interest in several areas of research, such as multi-agent systems and social networks. In this paper, we examine the controllability of several classes of nonlinear networked dynamics on which the…

Optimization and Control · Mathematics 2017-09-21 Mathias Hudoba de Badyn , Siavash Alemzadeh , Mehran Mesbahi

Politics is the set of activities related to strategic decision-making in groups. Political scientists study the strategic interactions between states, institutions, politicians, and citizens; they seek to understand the causes and…

Human-Computer Interaction · Computer Science 2024-05-10 Dongyun Han , Abdullah-Al-Raihan Nayeem , Jason Windett , Yaoyao Dai , Benjamin Radford , Isaac Cho

Although diplomatic communication has long been examined in the social sciences, its network structure remains underexplored. Using the U.S. diplomatic cables released by WikiLeaks in 2010 as a case study, we adopt a network-science…

Social and Information Networks · Computer Science 2025-09-15 Arthur Rondeau , Didier Wernli , Roland Bouffanais