Editing Scale-free network (section)

==Scale-free ideal networks==
In the context of [[network theory]] a '''scale-free ideal network''' is a [[random network]] with a [[degree distribution]] following the [[Scale-Free Ideal Gas|scale-free ideal gas]] [[Probability density function|density distribution]]. These networks are able to reproduce city-size distributions and electoral results by unraveling the size distribution of social groups with information theory on complex networks when a competitive cluster growth process is applied to the network.<ref>{{cite arXiv |author1=A. Hernando |author2=D. Villuendas |author3=C. Vesperinas |author4=M. Abad |author5=A. Plastino |eprint=0905.3704 |class=physics.soc-ph |title=Unravelling the size distribution of social groups with information theory on complex networks |year=2009 }}, submitted to ''European Physical Journal B''</ref><ref>
{{cite journal |author1=André A. Moreira |author2=Demétrius R. Paula |author3=Raimundo N. Costa Filho |author4=José S. Andrade, Jr. |arxiv=cond-mat/0603272 |title=Competitive cluster growth in complex networks |year=2006 |doi=10.1103/PhysRevE.73.065101 |volume=73 |issue=6 |journal=Physical Review E|bibcode=2006PhRvE..73f5101M |pmid=16906890 |page=065101|s2cid=45651735 }}</ref> In models of scale-free ideal networks it is possible to demonstrate that [[Dunbar's number]] is the cause of the phenomenon known as the '[[six degrees of separation]]'.