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Related papers: Balance in signed networks

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Signed graphs are widely used to analyze complex systems such as social, political, and biological networks. The notion of balance, a key concept of signed graphs, reflects the stability of relationships. While it has been extensively…

Data Structures and Algorithms · Computer Science 2026-05-19 Zeyu Wang , Kudria Sergei , Jingbang Chen , Jiawei Chen , Xinyu Wang , Xiaodong Luo , Can Wang

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

Signed networks are such social networks having both positive and negative links. A lot of theories and algorithms have been developed to model such networks (e.g., balance theory). However, previous work mainly focuses on the unipartite…

Social and Information Networks · Computer Science 2021-10-12 Junjie Huang , Huawei Shen , Qi Cao , Shuchang Tao , Xueqi Cheng

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

Signed graphs have their edges labeled either as positive or negative. Here we introduce two types of signed distance matrix for signed graphs. We characterize balance in signed graphs using these matrices and we obtain explicit formulae…

Combinatorics · Mathematics 2021-06-21 Shahul Hameed K , Shijin T , Soorya P , Germina K A , Thomas Zaslavsky

Signed networks are frequently observed in real life with additional sign information associated with each edge, yet such information has been largely ignored in existing network models. This paper develops a unified embedding model for…

Social and Information Networks · Computer Science 2023-10-17 Haoran Zhang , Junhui Wang

This work analyzes the convergence properties of signed networks with nonlinear edge functions. We consider diffusively coupled networks comprised of maximal equilibrium-independent passive (MEIP) dynamics on the nodes, and a general class…

Systems and Control · Computer Science 2019-03-28 Hao Chen , Daniel Zelazo , Xiangke Wang , Lincheng Shen

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

Numerous real-world relations can be represented by signed networks with positive links (e.g., trust) and negative links (e.g., distrust). Link analysis plays a crucial role in understanding the link formation and can advance various tasks…

Social and Information Networks · Computer Science 2016-03-23 Ghazaleh Beigi , Jiliang Tang , Huan Liu

In the recent period of time with a lot of social platforms emerging, the relationships among various units can be framed with respect to either positive, negative or no relation. These units can be individuals, countries or others that…

Social and Information Networks · Computer Science 2021-11-08 Ranjana Roy Chowdhury , Shivam Gupta , Sravanthi Chede

Signed link prediction in graphs is an important problem that has applications in diverse domains. It is a binary classification problem that predicts whether an edge between a pair of nodes is positive or negative. Existing approaches for…

Social and Information Networks · Computer Science 2022-01-19 Roshni Chakraborty , Ritwika Das , Joydeep Chandra

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

Meso-scale structures in signed networks have been studied under the limiting assumption of the validity of social balance theory, which predicts positive connections within groups and negative connections between groups. Here, we propose…

Social and Information Networks · Computer Science 2025-12-15 Wei Zhang , Olga Boichak , Tristram J. Alexander , Tiago P. Peixoto , Eduardo G. Altmann

We propose a signed network formation game, in which pairs of individuals strategically change the signs of the edges in a complete network. These individuals are members of a social network who strategically reduce cognitive dissonances by…

Social and Information Networks · Computer Science 2019-10-01 Pedro Cisneros-Velarde , Francesco Bullo

In signed networks, some existing community detection methods treat negative connections as intercommunity links and positive ones as intracommunity links. However, it is important to recognize that negative links on real-world networks…

Physics and Society · Physics 2023-08-17 Peng Zhang , Xianyu Xu , Leyang Xue

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

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

The frustration index is a key measure for analysing signed networks, which has been underused due to its computational complexity. We use an exact optimisation-based method to analyse frustration as a global structural property of signed…

Social and Information Networks · Computer Science 2019-07-23 Samin Aref , Mark C. Wilson

Random walks play an important role in probing the structure of complex networks. On traditional networks, they can be used to extract community structure, understand node centrality, perform link prediction, or capture the similarity…

Physics and Society · Physics 2024-06-13 Shazia'Ayn Babul , Yu Tian , Renaud Lambiotte

In this paper, we perform the initial and comprehensive study on the problem of measuring node relevance on signed social networks. We design numerous relevance measurements for signed social networks from both local and global perspectives…

Social and Information Networks · Computer Science 2017-10-27 Tyler Derr , Chenxing Wang , Suhang Wang , Jiliang Tang