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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

We introduce the concept of a $k$-token signed graph and study some of its combinatorial and algebraic properties. We prove that two switching isomorphic signed graphs have switching isomorphic token graphs. Moreover, we show that the…

Combinatorics · Mathematics 2024-03-06 C. Dalfó , M. A. Fiol , E. Steffen

Signed graphs have appeared in a broad variety of applications, ranging from social networks to biological networks, from distributed control and computation to power systems. In this paper, we investigate spectral properties of signed…

Systems and Control · Electrical Eng. & Systems 2020-09-09 Wei Chen , Dan Wang , Ji Liu , Yongxin Chen , Sei Zhen Khong , Tamer Başar , Karl H. Johansson , Li Qiu

Political polarization in online social platforms is a rapidly growing phenomenon worldwide. Despite their relevance to modern-day politics, the structure and dynamics of polarized states in digital spaces are still poorly understood. We…

Physics and Society · Physics 2024-04-04 Antonio F. Peralta , Pedro Ramaciotti , János Kertész , Gerardo Iñiguez

Signed networks contain both positive and negative kinds of interactions like friendship and enmity. The task of node classification in non-signed graphs has proven to be beneficial in many real world applications, yet extensions to signed…

Social and Information Networks · Computer Science 2019-08-07 Pedro Mercado , Jessica Bosch , Martin Stoll

The growing prominence of social media in public discourse has led to a greater scrutiny of the quality of online information and the role it plays in amplifying political polarization. However, studies of polarization on social media…

Social and Information Networks · Computer Science 2023-07-27 Ashwin Rao , Fred Morstatter , Kristina Lerman

Bipartite networks provide a major insight into the organisation of many real-world systems. One of the most relevant issues encountered when modelling a bipartite network is that of facing the information shortage concerning intra-layer…

Physics and Society · Physics 2025-07-11 Anna Gallo , Fabio Saracco , Tiziano Squartini

In this paper, we want to study the informative value of negative links in signed complex networks. For this purpose, we extract and analyze a collection of signed networks representing voting sessions of the European Parliament (EP). We…

Social and Information Networks · Computer Science 2015-11-26 Israel Mendonça , Rosa Figueiredo , Vincent Labatut , Philippe Michelon

Since the 1960s, Democrats and Republicans in U.S. Congress have taken increasingly polarized positions, while the public's policy positions have remained centrist and moderate. We explain this apparent contradiction by developing a…

Physics and Society · Physics 2020-08-17 Vicky Chuqiao Yang , Daniel M. Abrams , Georgia Kernell , Adilson E. Motter

We present parity conditions under which a toy rail network is one-way, i.e., whether a direction can be assigned across the network so that all train journeys are completely consistent with it or completely consistent with its opposite. We…

Combinatorics · Mathematics 2025-09-16 Dai Akita , Daniel Thorsten Schenz

Democracies employ elections at various scales to select officials at the corresponding levels of administration. The geographical distribution of political opinion, the policy issues delegated to each level, and the multilevel interactions…

Applications · Statistics 2022-11-03 Sihao Huang , Alexander F. Siegenfeld , Andrew Gelman

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

Election polls play a critical role in political discussions by probing public opinion and enabling political parties to assess their performance before elections. However, traditional polling methods sometimes fail to predict election…

Network theory provides a powerful tool for the representation and analysis of complex systems of interacting agents. Here we investigate the United States House of Representatives network of committees and subcommittees, with committees…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 Mason A. Porter , Peter J. Mucha , M. E. J. Newman , Casey M. Warmbrand

Conservation laws and balance equations for physical network systems typically can be described with the aid of the incidence matrix of a directed graph, and an associated symmetric Laplacian matrix. Some basic examples are discussed, and…

Optimization and Control · Mathematics 2015-10-19 A. J. van der Schaft

Cooperation in the form of vote trading, also known as logrolling, is central for law-making processes, shaping the development of democratic societies. Empirical evidence of logrolling is scarce and limited to highly specific situations…

Physics and Society · Physics 2016-11-07 Omar A. Guerrero , Ulrich Matter

According to the structural balance theory, a signed graph is considered structurally balanced when it can be partitioned into a number of modules such that positive and negative edges are respectively located inside and between the…

Optimization and Control · Mathematics 2023-05-18 Nejat Arinik , Vincent Labatut , Rosa Figueiredo

Nowadays, social media is the ground for political debate and exchange of opinions. There is a significant amount of research that suggests that social media are highly polarized. A phenomenon that is commonly observed is the echo chamber…

Social and Information Networks · Computer Science 2026-04-22 Konstantinos Mylonas , Thrasyvoulos Spyropoulos

In this work, we consider a group of n agents whose interactions can be represented using unsigned or signed structurally balanced graphs or a special case of structurally unbalanced graphs. A Laplacian-based model is proposed to govern the…

Systems and Control · Electrical Eng. & Systems 2024-08-15 Vishnudatta Thota , Twinkle Tripathy , Debasattam Pal

Our paper aims to analyze political polarization in US political system using Language Models, and thereby help candidates make an informed decision. The availability of this information will help voters understand their candidates views on…

Computation and Language · Computer Science 2023-01-04 Samiran Gode , Supreeth Bare , Bhiksha Raj , Hyungon Yoo
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