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Political polarization is traditionally analyzed through the ideological stances of groups and parties, but it also has a behavioral component that manifests in the interactions between individuals. We present an empirical analysis of the…

Applications · Statistics 2015-03-27 David Garcia , Adiya Abisheva , Simon Schweighofer , Uwe Serdült , Frank Schweitzer

Quantifying the amount of polarization is crucial for understanding and studying political polarization in political and social systems. Several methods are used commonly to measure polarization in social networks by purely inspecting their…

Social and Information Networks · Computer Science 2022-04-14 Ali Salloum , Ted Hsuan Yun Chen , Mikko Kivelä

Does polarization online reflect the state of polarization in society? We study ideological positions and attitudes on several issues in France, a country with documented issue nonalignment. We compare distributions on X/Twitter with a…

Social and Information Networks · Computer Science 2026-03-03 Antoine Vendeville , Hiroki Yamashita , Pedro Ramaciotti

Theories of democratic stability, populism, and party-system crisis often point to a form of polarization that comparative research rarely measures directly: hostile relations among political elites. Existing comparative measures capture…

Computation and Language · Computer Science 2026-05-12 Gennadii Iakovlev

Digital technologies can augment civic participation by facilitating the expression of detailed political preferences. Yet, digital participation efforts often rely on methods optimized for elections involving a few candidates. Here we…

Temporal communities result from a consistent partitioning of nodes across multiple snapshots of an evolving complex network that can help uncover how dense clusters in a network emerge, combine, split and decay with time. Current methods…

Social and Information Networks · Computer Science 2015-03-20 Vikas Kawadia , Sameet Sreenivasan

Adaptive models of opinion formation among humans can display a fragmentation transition, where a social network breaks into disconnected components. Here, we investigate this transition in a class of models with arbitrary number of…

Physics and Society · Physics 2012-06-19 Gesa A. Böhme , Thilo Gross

The proliferation of online social networks has significantly reshaped the way individuals access and engage with information. While these platforms offer unprecedented connectivity, they may foster environments where users are increasingly…

Social and Information Networks · Computer Science 2026-01-14 Xiaodan Wang , Yanbin Liu , Shiqing Wu , Ziying Zhao , Yuxuan Hu , Weihua Li , Quan Bai

In the context of cluster analysis and graph partitioning, many external evaluation measures have been proposed in the literature to compare two partitions of the same set. This makes the task of selecting the most appropriate measure for a…

Machine Learning · Computer Science 2021-02-09 Nejat Arinik , Vincent Labatut , Rosa Figueiredo

In opinion dynamics, as in general usage, polarisation is subjective. To understand polarisation, we need to develop more precise methods to measure the agreement in society. This paper presents four mathematical measures of polarisation…

Physics and Society · Physics 2023-01-11 Johnathan A. Adams , Gentry White , Robyn P. Araujo

Social networks contribute to the distribution of social capital, defined as the relationships, norms of trust and reciprocity within a community or society that facilitate cooperation and collective action. Therefore, better positioned…

Social and Information Networks · Computer Science 2024-11-25 Adrian Arnaiz-Rodriguez , Georgina Curto , Nuria Oliver

Social polarization is a growing concern worldwide, as it strains social relations, erodes trust in institutions, and thus threatens democratic societies. Academic efforts to understand this phenomenon have traditionally approached it from…

Physics and Society · Physics 2025-11-19 Samuel Martin-Gutierrez , Juan C. Losada , Rosa M. Benito

The increasing polarization of online political discourse calls for computational tools that automatically detect and monitor ideological divides in social media. We introduce a minimally supervised method that leverages the network…

Computation and Language · Computer Science 2022-12-16 Valentin Hofmann , Xiaowen Dong , Janet B. Pierrehumbert , Hinrich Schütze

Two network measures known as the Economic Complexity Index (ECI) and Product Complexity Index (PCI) have provided important insights into patterns of economic development. We show that the ECI and PCI are equivalent to a spectral…

Economics · Quantitative Finance 2021-10-05 Penny Mealy , J. Doyne Farmer , Alexander Teytelboym

Selective exposure, individuals' inclination to seek out information that supports their beliefs while avoiding information that contradicts them, plays an important role in the emergence of polarization and echo chambers. In the political…

Social and Information Networks · Computer Science 2025-12-01 Yuan Zhang , Laia Castro Herrero , Frank Esser , Alexandre Bovet

We consider voter dynamics on a directed adaptive network with fixed out-degree distribution. A transition between an active phase and a fragmented phase is observed. This transition is similar to the undirected case if the networks are…

Adaptation and Self-Organizing Systems · Physics 2012-04-17 Gerd Zschaler , Gesa A. Böhme , Michael Seißinger , Cristián Huepe , Thilo Gross

We investigate disagreement and polarization in a social network with two polarizing sources of information. First, we define disagreement and polarization indices in two-party leader-follower models of opinion dynamics. We then give…

Social and Information Networks · Computer Science 2020-05-18 Yuhao Yi , Stacy Patterson

In this paper we develop a mathematical framework for the characterisation of separability and entanglement of formation (EoF) of general bipartite states. These characterisations are of the variational kind, meaning that separability and…

Quantum Physics · Physics 2009-11-06 K. Audenaert , F. Verstraete , B. De Moor

News sharing on digital platforms shapes the digital spaces millions of users navigate. Trace data from these platforms also enables researchers to study online news circulation. In this context, research on the types of news shared by…

Social and Information Networks · Computer Science 2025-05-14 Felix Gaisbauer , Armin Pournaki , Jakob Ohme

This article introduces a concept and measure of graph compartmentalization. This new measure allows for principled comparison between graphs of arbitrary structure, unlike existing measures such as graph modularity. The proposed measure is…

Social and Information Networks · Computer Science 2014-08-29 Matthew J. Denny