  Recently, Broido & Clauset (2019) mentioned that (strict) Scale-Free networks
were rare, in real life. This might be related to the statement of Stumpf, Wiuf
& May (2005), that sub-networks of scale-free networks are not scale-free. In
the later, those sub-networks are asymptotically scale-free, but one should not
forget about second-order deviation (possibly also third order actually). In
this article, we introduce a concept of extended scale-free network, inspired
by the extended Pareto distribution, that actually is maybe more realistic to
describe real network than the strict scale free property. This property is
consistent with Stumpf, Wiuf & May (2005): sub-network of scale-free larger
networks are not strictly scale-free, but extended scale-free.
