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Scale-free network
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==Examples== Examples of networks found to be scale-free include: * Some [[Social network]]s, including collaboration networks. Two examples that have been studied extensively are [[Six Degrees of Kevin Bacon|the collaboration of movie actors in films]] and [[Erdős number|the co-authorship by mathematicians of papers]]. * Many kinds of [[computer network]]s, including the [[internet]] and the [[webgraph]] of the [[World Wide Web]]. * Some financial networks such as interbank payment networks <ref>{{cite journal|title=Fitness model for the Italian interbank money market|journal=Physical Review E|year=2006|first=Giulia|last=De Masi |display-authors=etal |volume=74|issue=6|pages=066112|doi= 10.1103/PhysRevE.74.066112|pmid=17280126|arxiv=physics/0610108|bibcode=2006PhRvE..74f6112D|s2cid=30814484}}</ref><ref>{{cite journal|title=The topology of interbank payment flows|journal=Physica A: Statistical Mechanics and Its Applications|year=2007|first=Kimmo|last=Soramäki |display-authors=etal |volume=379|issue=1|pages=317–333|doi= 10.1016/j.physa.2006.11.093|bibcode = 2007PhyA..379..317S |hdl=10419/60649|hdl-access=free}}</ref> * [[Protein–protein interaction]] networks. * [[Semantic network]]s.<ref>{{cite journal|title=The Large-Scale Structure of Semantic Networks: Statistical Analyses and a Model of Semantic Growth|journal=Cognitive Science|year=2005|first=Mark|last=Steyvers|author2=Joshua B. Tenenbaum |volume=29|issue=1|pages=41–78|doi= 10.1207/s15516709cog2901_3|pmid=21702767|arxiv=cond-mat/0110012|s2cid=6000627}}</ref> * Airline networks. Scale free topology has been also found in high temperature superconductors.<ref>{{cite journal |doi=10.1038/nature09260 |last1=Fratini |first1=Michela |last2=Poccia |first2=Nicola |last3=Ricci |first3=Alessandro |last4=Campi |first4=Gaetano |last5=Burghammer |first5=Manfred |last6=Aeppli |first6=Gabriel |last7=Bianconi |first7=Antonio |title=Scale-free structural organization of oxygen interstitials in La2CuO4+y |journal=Nature |volume=466 |issue=7308 |pages=841–4 |year=2010 |pmid=20703301|arxiv = 1008.2015 |bibcode = 2010Natur.466..841F |s2cid=4405620 }}</ref> The qualities of a high-temperature superconductor — a compound in which electrons obey the laws of quantum physics, and flow in perfect synchrony, without friction — appear linked to the fractal arrangements of seemingly random oxygen atoms and lattice distortion.<ref>{{cite journal |doi=10.1073/pnas.1208492109 |last1=Poccia |first1=Nicola |last2=Ricci |first2=Alessandro |last3=Campi |first3=Gaetano |last4=Fratini |first4=Michela |last5=Puri |first5=Alessandro |last6=Di Gioacchino |first6=Daniele |last7=Marcelli |first7=Augusto |last8=Reynolds |first8=Michael |last9=Burghammer |first9=Manfred |last10=Saini |first10=Naurang L. |last11=Aeppli |first11=Gabriel |last12=Bianconi |first12=Antonio |title=Optimum inhomogeneity of local lattice distortions in La2CuO4+y |journal=PNAS |volume=109 |issue=39 |pages=15685–15690 |year=2012 |pmid=22961255|pmc=3465392 |arxiv = 1208.0101 |bibcode =2012PNAS..10915685P |doi-access=free }}</ref>
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