text:   structure",3,"['New detectability paper (mainly done by Chihiro Noguchi) is on arxiv. \n“Fragility of spectral clustering for networks with an overlapping structure” \n<LINK> \n\n(continued) <LINK>', 'Whereas the spectral clustering is known to be nearly optimal for some random graph models, it’s also known to be fragile against noise. (2/3)', 'We investigated how an overlapping structure in the stochastic block model affects the spectrum (isolated eigenvalue and spectral band). Interestingly, the effects are qualitatively different depending on the way the groups are overlapped. (3/3)']",20,03,563