Evaluation of User Dynamics Created by Weak Ties among Divided Communities
Evaluation of User Dynamics Created by Weak Ties among Divided Communities
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DOI：
10.1587/nolta.12.157
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发表时间：
2021-01
期刊：
影响因子：
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通讯作者：
Takahiro Kubo;C. Takano;Masaki Aida
中科院分区：
文献类型：
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作者：
Takahiro Kubo;C. Takano;Masaki Aida
火焰现象代表了在线社交网络（OSN）中用户交互所产生的用户动态强度的差异。尽管已知当OSN的拉普拉斯矩阵具有非实特征值时会发生火焰现象，但最近的研究表明，即使所有特征值都是实数，也可能会发生火焰现象。这种效应仅在某些特征值退化的情况下才会出现，并且对表示用户动态的方程应用了特殊的酉变换；实际的OSN是否满足这个条件尚未得到充分讨论。在本文中，我们阐明了由特征值 0 退化引起的用户动态是上述情况的一个具体示例。我们还研究了退化特征值产生的火焰现象的机制和特征。此外，我们通过数值模拟证明特征值的退化会导致发散。
Flaming phenomena represent the divergence in the strength of user dynamics as created by user interactions in online social networks (OSNs). Although it has been known that flaming phenomena occur when the Laplacian matrix of the OSN has non-real eigenvalues, it was recently shown that flaming phenomena may occur even if all the eigenvalues are real numbers. This effect appears only in the situation that some eigenvalues are degenerate, and a special unitary transformation is applied to the equations representing user dynamics; whether actual OSNs satisfy this condition has not been fully discussed. In this paper, we clarify that the user dynamics caused by the degeneration of eigenvalue 0 is one specific example of the above condition. We also investigate the mechanism and characteristics of flaming phenomena generated by degenerated eigenvalues. Furthermore, we demonstrate through numerical simulations that the degeneration of eigenvalues can cause divergence.