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Related papers: Testing for Balance in Social Networks

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In many real-world networks, relationships often go beyond simple dyadic presence or absence; they can be positive, like friendship, alliance, and mutualism, or negative, characterized by enmity, disputes, and competition. To understand the…

Methodology · Statistics 2026-04-21 Xuyang Chen , Yinjie Wang , Weijing Tang

We consider signed networks in which connections or edges can be either positive (friendship, trust, alliance) or negative (dislike, distrust, conflict). Early literature in graph theory theorized that such networks should display…

Social and Information Networks · Computer Science 2019-01-30 Alec Kirkley , George T. Cantwell , M. E. J. Newman

On signed social networks, balanced and unbalanced triangles are a critical motif due to their role as the foundations of Structural Balance Theory. The uses for these motifs have been extensively explored in networks with known edge signs,…

Data Structures and Algorithms · Computer Science 2026-02-17 Alexander Zhou , Haoyang Li , Anxin Tian , Zhiyuan Li , Yue Wang

Is the enemy of an enemy necessarily a friend? If not, to what extent does this tend to hold? Such questions were formulated in terms of signed (social) networks and necessary and sufficient conditions for a network to be "balanced" were…

Social and Information Networks · Computer Science 2018-08-21 Samin Aref , Mark C. Wilson

We present measures, models and link prediction algorithms based on the structural balance in signed social networks. Certain social networks contain, in addition to the usual 'friend' links, 'enemy' links. These networks are called signed…

Social and Information Networks · Computer Science 2014-02-28 Jérôme Kunegis

Signed networks have long been used to represent social relations of amity (+) and enmity (-) between individuals. Group of individuals who are cyclically connected are said to be balanced if the number of negative edges in the cycle is…

Social and Information Networks · Computer Science 2017-05-19 P. -L. Giscard , P. Rochet , R. C. Wilson

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

There is a long-standing belief that in social networks with simultaneous friendly/hostile interactions (signed networks) there is a general tendency to a global balance. Balance represents a state of the network with lack of contentious…

Physics and Society · Physics 2014-06-10 Ernesto Estrada , Michele Benzi

According to the so-called strong version of structural balance theory, actors in signed social networks avoid establishing triads with an odd number of negative links. Generalising, the weak version of balance theory allows for nodes to be…

Physics and Society · Physics 2024-12-23 Anna Gallo , Diego Garlaschelli , Tiziano Squartini

Statistical network models are useful for understanding the underlying formation mechanism and characteristics of complex networks. However, statistical models for \textit{signed networks} have been largely unexplored. In signed networks,…

Methodology · Statistics 2023-09-04 Weijing Tang , Ji Zhu

Structural balance theory predicts that triads in networks gravitate towards stable configurations. The theory has been verified for undirected graphs. Since real-world networks are often directed, we introduce a novel method for…

Social and Information Networks · Computer Science 2024-05-07 Rezvaneh Rezapour , Ly Dinh , Lan Jiang , Jana Diesner

Real social contacts are often intermittent such that a link between a pair of nodes in a social network is only temporarily used. Effects of such temporal networks on social dynamics have been investigated for several phenomenological…

Social and Information Networks · Computer Science 2014-08-26 Ryosuke Nishi , Naoki Masuda

Relations between users on social media sites often reflect a mixture of positive (friendly) and negative (antagonistic) interactions. In contrast to the bulk of research on social networks that has focused almost exclusively on positive…

Physics and Society · Physics 2010-03-15 Jure Leskovec , Daniel Huttenlocher , Jon Kleinberg

The "friendship paradox" of social networks states that, on average, "your friends have more friends than you do." Here, we theoretically and empirically explore a related and overlooked paradox we refer to as the "enmity paradox." We use…

Social and Information Networks · Computer Science 2023-04-21 Amir Ghasemian , Nicholas A. Christakis

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

Structural balance theory assumes triads in networks to gravitate towards stable configurations. The theory has been verified for undirected graphs. Since real-world networks are often directed, we introduce a novel method for considering…

Social and Information Networks · Computer Science 2020-06-05 Ly Dinh , Rezvaneh Rezapour , Lan Jiang , Jana Diesner

This paper studies the signed networks in the presence of stubborn links, based on the structural balance theory. Each agent in the network has a mixture of positive and negative links represent friendly and antagonistic interactions and…

Physics and Society · Physics 2019-07-02 Somaye Sheykhali , Amir Hossein Darooneh , Gholam Reza Jafari

We study the evolution of social networks that contain both friendly and unfriendly pairwise links between individual nodes. The network is endowed with dynamics in which the sense of a link in an imbalanced triad--a triangular loop with 1…

Statistical Mechanics · Physics 2007-05-23 T. Antal , P. L. Krapivsky , S. Redner

The study of social networks is a burgeoning research area. However, most existing work deals with networks that simply encode whether relationships exist or not. In contrast, relationships in signed networks can be positive ("like",…

Social and Information Networks · Computer Science 2013-03-06 Kai-Yang Chiang , Cho-Jui Hsieh , Nagarajan Natarajan , Ambuj Tewari , Inderjit S. Dhillon

How do social networks evolve when both friendly and unfriendly relations exist? Here we propose a simple dynamics for social networks in which the sense of a relationship can change so as to eliminate imbalanced triads--relationship…

General Physics · Physics 2007-05-23 T. Antal , P. L. Krapivsky , S. Redner
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