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Studying significant network patterns, known as graphlets (or motifs), has been a popular approach to understand the underlying organizing principles of complex networks. Statistical significance is routinely assessed by comparing to null…

Physics and Society · Physics 2024-11-08 Bingjie Hao , István A. Kovács

Measuring the number of "likes" in Twitter and the number of bills voted in favor by the members of the Chilean Chambers of Deputies. We empirically study how signals of agreement in Twitter translates into cross-cutting voting during a…

General Economics · Economics 2021-09-07 Pablo Henríquez , Jorge Sabat , José Patrìcio Sullivan

Social network extensions of Heider's balance theory have not always been consistent. Structural balance theory primarily focuses on graph partitioning, thereby assuming, homogeneity in balance-driven behavior of nodes. We present a general…

Physics and Society · Physics 2024-10-15 David Dekker , David Krackhardt , Patrick Doreian , Pavel N. Krivitsky

Many systems comprising entities in interactions can be represented as graphs, whose structure gives significant insights about how these systems work. Network theory has undergone further developments, in particular in relation to…

Data Analysis, Statistics and Probability · Physics 2016-06-14 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

Echo chambers and polarisation dynamics are as of late a very prominent topic in scientific communities around the world. As these phenomena directly affect our lives and seemingly more and more as our societies and communication channels…

Physics and Society · Physics 2022-03-01 Łukasz G. Gajewski , Julian Sienkiewicz , Janusz A. Hołyst

Many democratic societies have become more politically polarized, with the U.S. as the main example. The origins of this phenomenon are still not well-understood and subject to debate. To better understand the mechanisms underlying…

Physics and Society · Physics 2020-10-29 Lucas Böttcher , Hans Gersbach

Brexit, a global pandemic, the Russian invasion of Ukraine, and record inflation - few legislative bodies have faced such a cascade of shocks as the European Parliament did during its 9th term (2019-2024). Using the Bipartite Configuration…

Physics and Society · Physics 2025-07-08 Sebastiao Rosalino , António Curado , Flávio L. Pinheiro

Inspired by socio-political scenarios, like dictatorships, in which a minority of people exercise control over a majority of weakly interconnected individuals, we propose vulnerability and power measures defined on groups of actors of…

Social and Information Networks · Computer Science 2014-12-22 Enrico Bozzo , Massimo Franceschet , Franca Rinaldi

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

We build simple models for the distribution of voting patterns in a group, using the Supreme Court of the United States as an example. The least structured, or maximum entropy, model that is consistent with the observed pairwise…

Physics and Society · Physics 2017-09-30 Edward D. Lee , Chase P. Broedersz , William Bialek

Typically, graph structures are represented by one of three different matrices: the adjacency matrix, the unnormalised and the normalised graph Laplacian matrices. The spectral (eigenvalue) properties of these different matrices are…

Methodology · Statistics 2020-01-27 J. F. Lutzeyer , A. T. Walden

With the ongoing emergence of smart and distributed grids, it becomes increasingly important to understand as well as improve legacy infrastructure while operating a much more interconnected and fragile architecture. To support this…

Human-Computer Interaction · Computer Science 2022-04-13 Maximilian T. Fischer , Daniel A. Keim

Signed networks allow to model positive and negative relationships. We analyze existing extensions of spectral clustering to signed networks. It turns out that existing approaches do not recover the ground truth clustering in several…

Machine Learning · Statistics 2017-01-05 Pedro Mercado , Francesco Tudisco , Matthias Hein

Political polarization can be beneficial to competing political parties. I study how electoral competition itself generates incentives to polarize voters, even when parties are ex ante identical and motivated purely by political power,…

General Economics · Economics 2026-02-02 Giampaolo Bonomi

With the prevalence of social media, the connectedness between people has been greatly enhanced. Real-world relations between users on social media are often not limited to expressing positive ties such as friendship, trust, and agreement,…

Social and Information Networks · Computer Science 2024-02-27 Zeyu Zhang , Peiyao Zhao , Xin Li , Jiamou Liu , Xinrui Zhang , Junjie Huang , Xiaofeng Zhu

A large portion of today's big data can be represented as networks. However, not all networks are the same, and in fact, for many that have additional complexities to their structure, traditional general network analysis methods are no…

Social and Information Networks · Computer Science 2019-09-16 Tyler Derr , Cassidy Johnson , Yi Chang , Jiliang Tang

A polarized social network is modeled as a system of interacting marked point processes with memory of variable length. Each point process indicates the successive times in which a social actor expresses a "favorable" or "contrary" opinion.…

Probability · Mathematics 2024-08-23 Antonio Galves , Kádmo Laxa

Global partisan hostility and polarization has increased, and this polarization is heightened around presidential elections. Models capable of generating accurate summaries of diverse perspectives can help reduce such polarization by…

Computation and Language · Computer Science 2025-07-29 Nicholas Deas , Kathleen McKeown

Previous research claimed or disclaimed the role of a small diameter in the synchronization of a network of coupled dynamical systems. We investigate this connection and show that it is two folds. We first construct two classes of networks,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wei Lin , Xiaowei Zhan

We investigate signed networks with community structure with respect to their spectrum and their evolution under a dynamical model of structural balance, a prominent theory of signed social networks. The spectrum of the adjacency matrix…

Social and Information Networks · Computer Science 2020-07-15 Megan Morrison , Michael Gabbay