2011
DOI: 10.1088/0256-307x/28/11/118901
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Self-Organized Criticality in Small-World Networks Based on the Social Balance Dynamics

Abstract: A node model is proposed to study the self-organized criticality in the small-world networks which represent the social networks. Based on the node model and the social balance dynamics, the social networks are mapped to the thermodynamic systems and the phenomena are studied with physical methods. It is found that the avalanche in the small-world networks at the critical state satisfies the power-law distribution spatially and temporally.

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Cited by 9 publications
(9 citation statements)
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“…In this example, the spin alignment along the slowly increasing external field is balanced by spin-spin interactions and the local constraints due to the random-filed disorder. The dynamics of spin flips under the disorder induced constraints and interactions was often employed to model opinion formation [66], processes driven by social-balance [67] and other cases. For the purpose of this work, we aim to explore the impact of vacancies in the underlying network onto the multifractal spectrum of the avalanche sequences.…”
Section: The Impact Of Vacancies On Multifractal Spectrum: a Comparismentioning
confidence: 99%
“…In this example, the spin alignment along the slowly increasing external field is balanced by spin-spin interactions and the local constraints due to the random-filed disorder. The dynamics of spin flips under the disorder induced constraints and interactions was often employed to model opinion formation [66], processes driven by social-balance [67] and other cases. For the purpose of this work, we aim to explore the impact of vacancies in the underlying network onto the multifractal spectrum of the avalanche sequences.…”
Section: The Impact Of Vacancies On Multifractal Spectrum: a Comparismentioning
confidence: 99%
“…e emergence of the SOC on the social networks is evidenced by the avalanche-like dynamics of microposts observed in them [32][33][34][35][36][37][38][39].…”
Section: Introductionmentioning
confidence: 99%
“…From the moment of the SOC model emergence, this model started to be applied to describe critical phenomena in systems regardless of their nature (e.g., see the review [9] and references therein). Not an exception is the application of the theory to the description of critical phenomena in social networks (e.g., see the works [10][11][12][13]). e motivation of our investigation is the following.…”
Section: Introductionmentioning
confidence: 99%
“…e motivation of our investigation is the following. ere is a number of studies (e.g., see the works [11,[13][14][15][16][17][18][19][20]), in which it is established that the observed flows of microposts generated by microblogging social networks (e.g., Twitter) are characterized by avalanche-like behavior. Time series of microposts depicting such streams are the time series with a power-law distribution of probabilities, with 1/f noise and long memory.…”
Section: Introductionmentioning
confidence: 99%