Evaluation of user dynamics created by weak ties among divided communities

Flaming phenomena represent the divergence in strength of user dynamics as created by interactions online social networks (OSNs). Although it has been known that flaming occur when Laplacian matrix OSN non-real eigenvalues, was recently shown may even if all eigenvalues are real numbers. This effect appears only situation some degenerate, and a special unitary transformation is applied to equations representing dynamics; whether actual OSNs satisfy this condition not fully discussed. In paper, we clarify caused degeneration eigenvalue 0 one specific example above condition. We also investigate mechanism characteristics generated degenerated eigenvalues. Furthermore, demonstrate through numerical simulations can cause divergence.