Correlated network of networks enhances robustness against catastrophic failures - Fig 4

<p>(a) Percolation threshold and (b) size of jump of C-NoN in correlated ER NoN with <i>N</i> = 10⁴, 〈<i>k</i>_<i>in</i>〉 = 2, and 〈<i>k</i>_<i>out</i>〉 = 1 for different <i>α</i> and <i>β</i>. When <i>α</i> ≈ −1 or <i>α</i> > 0.5 and <i>β</i> > 0, NoN becomes stable against random failure. In contrast, when −0.5 < <i>α</i> < 0.5 and <i>β</i> < 0, NoN is vulnerable to catastrophic collapse. (c) percolation threshold of M-NoN with correlated ER NoN with the same parameters as C-NoN. High <i>α</i> and <i>β</i> region is robust against random failure for M-NoN. (d) <i>β</i>_<i>gen</i> observed from realized networks at a given (<i>α</i>, <i>β</i>). The value <i>β</i>_<i>gen</i> is obtained by a linear regression.