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This work addresses the edge-based synchronization problem in first-order multi-agent systems containing both cooperative and antagonistic interactions with one or multiple leader groups. The presence of multiple leaders and antagonistic…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Pelin Sekercioglu , Angela Fontan , Dimos V. Dimarogonas

The structural balance of a signed graph is known to be necessary and sufficient to obtain a bipartite consensus among agents with friend-foe relationships. In the real world, relationships are multifarious, and the coexistence of different…

Systems and Control · Electrical Eng. & Systems 2023-11-09 Honghui Wu , Ahmet Taha Koru , Guanxuan Wu , Frank L. Lewis , Hai Lin

Multilayer graphs are appealing mathematical tools for modeling multiple types of relationship in the data. In this paper, we aim at analyzing multilayer graphs by properly combining the information provided by individual layers, while…

Machine Learning · Computer Science 2020-10-30 Mireille El Gheche , Pascal Frossard

Complex networks have acquired a great popularity in recent years, since the graph representation of many natural, social and technological systems is often very helpful to characterize and model their phenomenology. Additionally, the…

Physics and Society · Physics 2009-02-06 Filippo Radicchi , Alain Barrat , Santo Fortunato , Jose J. Ramasco

We analyze the network of relations between parliament members according to their voting behavior. In particular, we examine the emergent community structure with respect to political coalitions and government alliances. We rely on tools…

Physics and Society · Physics 2015-06-22 Carlo Dal Maso , Gabriele Pompa , Michelangelo Puliga , Gianni Riotta , Alessandro Chessa

Polarized topics often spark discussion and debate on social media. Recent studies have shown that polarized debates have a specific clustered structure in the endorsement net- work, which indicates that users direct their endorsements…

Social and Information Networks · Computer Science 2017-04-03 Kiran Garimella , Gianmarco De Francisci Morales , Aristides Gionis , Michael Mathioudakis

The aim of this paper is to develop an approach to visualizations that benefits from distributed computing. Three schemes of process distribution are considered: parallel, pipeline, and expanding pipeline computations. Expanding pipeline…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Mark Burgin , Walter Karplus , Damon Liu

This paper introduces a definition of ideological polarization of an electorate around a particular central point. By being flexible about the location or width of the center, this measure enables the researcher to analyze polarization…

General Economics · Economics 2025-07-11 Boris Ginzburg

Previous work has suggested that the structural restrictions of graphs from classes of bounded expansion--locally dense pockets in a globally sparse graph--naturally coincide with common properties of real-world networks such as clustering…

Data Structures and Algorithms · Computer Science 2018-04-24 Michael P. O'Brien , Blair D. Sullivan

This paper gives a fresh look at network synchronization. Here we no longer analyze it from the view of mathematics, such as graph theory, while we probe into one from control theory. First, we analyze the synchronization region using the…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Jilie Zhang

We analyse bill cosponsorship networks in the Italian Chamber of Deputies. In comparison with other parliaments, a distinguishing feature of the Chamber is the large number of political groups. Our analysis aims to infer the pattern of…

Applications · Statistics 2019-11-06 Mirko Signorelli , Ernst C. Wit

The paper introduces a Signed Generalized Random Dot Product Graph (SGRDPG) model, which is a variant of the Generalized Random Dot Product Graph (GRDPG), where, in addition, edges can be positive or negative. The setting is extended to a…

Social and Information Networks · Computer Science 2025-07-14 Marianna Pensky

Computational methods to model political bias in social media involve several challenges due to heterogeneity, high-dimensional, multiple modalities, and the scale of the data. Political bias in social media has been studied in multiple…

Computers and Society · Computer Science 2021-09-21 Prasad hajare , Sadia Kamal , Siddharth Krishnan , Arunkumar Bagavathi

Most of the distributed protocols for multi-agent consensus assume that the agents are mutually cooperative and "trustful," and so the couplings among the agents bring the values of their states closer. Opinion dynamics in social groups,…

Systems and Control · Computer Science 2017-10-16 Anton V. Proskurnikov , Alexey Matveev , Ming Cao

In graph learning, maps between graphs and their subgraphs frequently arise. For instance, when coarsening or rewiring operations are present along the pipeline, one needs to keep track of the corresponding nodes between the original and…

Machine Learning · Computer Science 2023-02-01 Marco Pegoraro , Riccardo Marin , Arianna Rampini , Simone Melzi , Luca Cosmo , Emanuele Rodolà

Polarization is a major concern for a well-functioning society. Often, mass polarization of a society is driven by polarizing political representation, even when the latter is easily preventable. The existing computational social choice…

Computer Science and Game Theory · Computer Science 2025-09-03 Chris Dong , Martin Bullinger , Tomasz Wąs , Larry Birnbaum , Edith Elkind

This paper studies targeted opinion formation in multi-agent systems evolving over signed, time-varying directed graphs. The dynamics of each agent's state follow a Laplacian-based update rule driven by both cooperative and antagonistic…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Swati Priya , Twinkle Tripathy

Understanding and quantifying polarization in social systems is important because of many reasons. It could for instance help to avoid segregation and conflicts in the society or to control polarized debates and predict their outcomes. In…

Physics and Society · Physics 2017-10-11 Tyll Krueger , Janusz Szwabiński , Tomasz Weron

This paper contributes to an emerging literature that models votes and text in tandem to better understand polarization of expressed preferences. It introduces a new approach to estimate preference polarization in multidimensional settings,…

Computation and Language · Computer Science 2019-10-29 Caleb Pomeroy , Niheer Dasandi , Slava J. Mikhaylov

Understanding the structure of weighted signed networks is essential for analysing social systems in which relationships vary both in sign and strength. Despite significant advances in statistical network analysis, there is still a lack of…

Methodology · Statistics 2025-11-06 Alberto Caimo , Isabella Gollini
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