Extended Scale-Free Networks

Understand

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.