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Social balance in signed networks

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Abstract

The theory of social balance, also called structural balance, is first proposed by Heider in 1940s, which is utilized to describe the potential social dynamics process. This theory is of great importance in sociology, computer science, psychology and other disciplines where social systems can be represented as signed networks. The social balance problem is hard but very interesting. It has attracted many researchers from various fields working on it over the past few years. Many significant theories and approaches have been developed and now exhibit tremendous potential for future applications. A comprehensive review of these existing studies can provide us significant insights into understanding the dynamic patterns of social systems. Yet to our investigation, existing studies have not done this, especially from a dynamical perspective. In this paper, we make an attempt towards conducting a brief survey of these scientific activities on social balance. Our efforts aim to review what has been done so far in this evolving area. We firstly introduce the fundamental concepts and significant properties of social balance. Then we summarize the existing balance measures and present detecting/partitioning algorithms, as well as important empirical investigations in both physical world and cyberspace. We next mainly focus on describing and comparing the fundamental mechanisms of the dynamics models. Several existing problems not yet satisfactorily solved in this area are also discussed.

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Acknowledgments

We greatly appreciate the valuable comments provided by anonymous reviewers. By responding to those significant comments, we were able to further improve the content and presentation of this paper. We would thank for each member of SMILES group in Institute of Automation, Chinese Academy of Sciences. Especially, we would thank for Kainan Cui, Saike He, Chuan Luo, Yunji Liang and Zhu Zhang for useful discussions. This work was supported in part by the following grants: The National Natural Science Foundation of China, Grant No. 71103180, 91124001 and 91024030, the Early Career Development Award of SKLMCCS, and The Ministry of Health, Grant No. 2012ZX10004801 and 2013ZX10004218.

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Correspondence to Xiaolong Zheng.

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Zheng, X., Zeng, D. & Wang, FY. Social balance in signed networks. Inf Syst Front 17, 1077–1095 (2015). https://doi.org/10.1007/s10796-014-9483-8

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