TABLE IV.

Three examples of a series of executions of the LS-CR algorithm with prescribed overlaps 0.6, 0.65, 0.7, 0.75, 0.8, and 0.85. In all cases, $N=10000, \langle k\rangle =12$ for the first distribution, and $\langle k^{\prime }\rangle =14$ for the second one. For any pair of distributions we report both the critical and the theoretical maximum overlap. For each two-layer network, we show the overlap $\alpha$, the Kendall's $\tau -b$ coefficient $\tau$ for the cross-layer degree-degree correlation, and the Pearson coefficients ${\rho }_1, {\rho }_2$ for the in-layer degree-degree correlations.

		0.6	0.65	0.70	0.75	0.80	0.85
	$\alpha$	0.5844	0.5952	0.6389	0.6985	0.7614	0.8050
ER 12–Exp 14	$\tau$	$-0.0178$	$-0.0005$	0.0935	0.3537	0.6152	0.7899
${\mathcal{O}}^{cr}=0.6330$	${\rho }_1$	0.0753	0.0692	0.0522	0.0241	$-0.0087$	$-0.0095$
$\overline{\mathcal{O}}=0.8350$	${\rho }_2$	0.1865	0.2055	0.3517	0.3543	0.3311	0.2727
	$\alpha$	0.5387	0.5788	0.6386	0.7014	0.7688	0.8459
Exp 12–Exp 14	$\tau$	$-0.0006$	0.0323	0.2116	0.3656	0.5132	0.6743
${\mathcal{O}}^{cr}=0.5797$	${\rho }_1$	0.2010	0.1833	0.1451	0.0851	0.0366	0.0166
$\overline{\mathcal{O}}=0.8545$	${\rho }_2$	0.1715	0.2377	0.2104	0.1798	0.3271	0.1102
	$\alpha$	0.5102	0.5702	0.6236	0.6879	0.7611	0.8385
SF 12–SF 14	$\tau$	0.1543	0.2900	0.4033	0.4989	0.5722	0.6246
${\mathcal{O}}^{cr}=0.5027$	${\rho }_1$	0.0982	0.0957	0.0761	0.0551	0.0269	0.0021
$\overline{\mathcal{O}}=0.8522$	${\rho }_2$	0.1215	0.1106	0.0980	0.0696	0.0362	$-0.0760$