For Belen:

Nodes

Edges
Giant Component, its Expected Value* and Ratio in a random graph Giant bicomponent in a random graph
Kinship 532 567 457 (441.6) 1.03 174 (.923)** (220 edges)
Compadrazgo 142 397 119*** (141.5) .84  88 (.997)**
(247 edges)

Mathematica formulae : * giant [n_,e_] := N[n*(1-(Sum [((k^(k-1))/k!)*((2*e/n)*E^-(2*e/n))^k,{k,1,40}]/(2*e/n)))]

**hamiltonian [n_,e_]:=N[E^-E^-(2*e/n)]

***All other components are singletons except for a pair

Table 5: Kinship and Compadrazgo: Giant Components