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We propose a new decentralized design method to control opinion patterns on signed networks of agents making decisions about two options and to switch the network from any opinion pattern to a new desired one. Our method relies on switching…

Optimization and Control · Mathematics 2023-11-07 Anastasia Bizyaeva , Giovanna Amorim , Maria Santos , Alessio Franci , Naomi Ehrich Leonard

In this work we propose a game theoretic model for document clustering. Each document to be clustered is represented as a player and each cluster as a strategy. The players receive a reward interacting with other players that they try to…

Artificial Intelligence · Computer Science 2017-04-07 Rocco Tripodi , Marcello Pelillo

Alliances and conflicts in social, political and economic relations can be represented by positive and negative edges in signed networks. A cycle is said to be positive if the product of its edge signs is positive, otherwise it is negative.…

Physics and Society · Physics 2024-08-13 Fernando Diaz-Diaz , Paolo Bartesaghi , Ernesto Estrada

Recent studies from social, biological, and engineering network systems have drawn attention to the dynamics over signed networks, where each link is associated with a positive/negative sign indicating trustful/mistrustful,…

Social and Information Networks · Computer Science 2016-11-15 Guodong Shi , Alexandre Proutiere , Mikael Johansson , John S. Baras , Karl H. Johansson

Signed networks allow us to model conflicting relationships and interactions, such as friend/enemy and support/oppose. These signed interactions happen in real-time. Modeling such dynamics of signed networks is crucial to understanding the…

Social and Information Networks · Computer Science 2023-02-07 Kartik Sharma , Mohit Raghavendra , Yeon Chang Lee , Anand Kumar M , Srijan Kumar

The abundance of data about social relationships allows the human behavior to be analyzed as any other natural phenomenon. Here we focus on balance theory, stating that social actors tend to avoid establishing cycles with an odd number of…

Physics and Society · Physics 2024-05-15 Anna Gallo , Diego Garlaschelli , Renaud Lambiotte , Fabio Saracco , Tiziano Squartini

Signed network is a kind of network that associates each edge a positive or negative sign which could express friendly or unfriendly relationship between individuals. When diseases spreading over the signed network, some unfriendly edges…

Physics and Society · Physics 2018-03-26 Cong Wan , Cong Wang , Yanxia Lv

Signed directed social networks, in which the relationships between users can be either positive (indicating relations such as trust) or negative (indicating relations such as distrust), are increasingly common. Thus the interplay between…

Social and Information Networks · Computer Science 2014-08-29 Dongjin Song , David A. Meyer

We introduce a principled and theoretically sound spectral method for $k$-way clustering in signed graphs, where the affinity measure between nodes takes either positive or negative values. Our approach is motivated by social balance…

Machine Learning · Statistics 2019-05-21 Mihai Cucuringu , Peter Davies , Aldo Glielmo , Hemant Tyagi

Coordination games are important to explain efficient and desirable social behavior. Here we study these games by extensive numerical simulation on networked social structures using an evolutionary approach. We show that local network…

Physics and Society · Physics 2010-11-24 Marco Tomassini , Enea Pestelacci

This paper introduces a model based upon games on an evolving network, and develops three clustering algorithms according to it. In the clustering algorithms, data points for clustering are regarded as players who can make decisions in…

Machine Learning · Computer Science 2010-03-22 Qiang Li , Zhuo Chen , Yan He , Jing-ping Jiang

Signed networks have been a topic of recent interest in the network control community as they allow studying antagonistic interactions in multi-agent systems. Although dynamical characteristics of signed networks have been well-studied,…

Optimization and Control · Mathematics 2017-07-13 Siavash Alemzadeh , Mathias Hudoba de Badyn , Mehran Mesbahi

Balance theory explains the forces behind the structure of social systems, which are commonly modeled as static undirected signed networks. We expand this modeling approach to incorporate directionality of edges, and consider three levels…

Social and Information Networks · Computer Science 2020-07-21 Samin Aref , Ly Dinh , Rezvaneh Rezapour , Jana Diesner

Node embeddings are a powerful tool in the analysis of networks; yet, their full potential for the important task of node clustering has not been fully exploited. In particular, most state-of-the-art methods generating node embeddings of…

Social and Information Networks · Computer Science 2022-02-24 Yixuan He , Gesine Reinert , Songchao Wang , Mihai Cucuringu

Social networks involve both positive and negative relationships, which can be captured in signed graphs. The {\em edge sign prediction problem} aims to predict whether an interaction between a pair of nodes will be positive or negative. We…

We analyse signed networks from the perspective of balance theory which predicts structural balance as a global structure for signed social networks that represent groups of friends and enemies. The scarcity of balanced networks encouraged…

Social and Information Networks · Computer Science 2019-01-23 Samin Aref

Signed networks are graphs whose edges are labelled with either a positive or a negative sign, and can be used to capture nuances in interactions that are missed by their unsigned counterparts. The concept of balance in signed graph theory…

Social and Information Networks · Computer Science 2020-02-04 Bruno Ordozgoiti , Antonis Matakos , Aristides Gionis

In this paper, we present a novel method for constrained cluster size signed spectral clustering which allows us to subdivide large groups of people based on their relationships. In general, signed clustering only requires K hard clusters…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-04 João Sedoc , Aline Normoyle

Understanding real-world networks has been a core research endeavor throughout the last two decades. Network Creation Games are a promising approach for this from a game-theoretic perspective. In these games, selfish agents corresponding to…

Computer Science and Game Theory · Computer Science 2020-12-14 Davide Bilò , Tobias Friedrich , Pascal Lenzner , Stefanie Lowski , Anna Melnichenko

We study binary-action pairwise-separable network games that encompass both coordinating and anti-coordinating behaviors. Our model is grounded in an underlying directed signed graph, where each link is associated with a weight that…

Computer Science and Game Theory · Computer Science 2025-05-22 Martina Vanelli , Laura Arditti , Giacomo Como , Fabio Fagnani