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Scale-free network

A scale-free network is a network whose degree distribution follows a power law, at least asymptotically. That is, the fraction P(k) of nodes in the network having k connections to other nodes goes for large values of k as

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Overview

History

Characteristics

Examples

Generative models

Generalized scale-free model

Scale-free ideal networks

Novel characteristics

The scale-free metric

Estimating the power law exponent

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Map overview Semantic statistics

Scale-free network

Nodes65
Edges64
Triples226
Avg. degree1.97
Density0.030769
Components1

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Scale-free network

Top relations

related to Further reading · 138
Scale-free network → ACM SIGCOMM Computer Communication, Advances, Albert, Albert's Model, Albert-László, Alderson, Amaral LAN, Annual Symposium, Barabási, Barthelemy, Bibcode, BioEssays, Bonabeau, Brazilian Soccer Player, CA, Caldarelli, Cambridge University Press, Capocci, Castro, Ch
related to Generative models · 15
Scale-free network → According, Albert's, Barabási, Dorogovtsev, Erdős, For, Mendes, More, Pachon, Rényi, Scale-free, Some, The, This, Web
related to history · 15
Scale-free network → Albert, Albert-László Barabási, Barabási, Derek, However, In, Notre Dame, Pareto, Price, Réka Albert, Solla Price, The, University, World Wide Web, WWW
related to Clustering · 12
Scale-free network → Another, At, Consider, For, In, It, Other, Similarly, Some, The, This, Those
see also · 11
Scale-free network → Albert, Barabási, Einstein, Features, Graph, Model, Network, Random, Rényi, Scale-free, Two
related to Generalized scale-free model · 6
Scale-free network → Albert, Barabási, In, Similarly, The, There
related to Characteristics · 4
Scale-free network → In, N1, The, While
related to Estimating the power law exponent · 4
Scale-free network → Estimating, However, It, Theoretically
is a · 2
Scale-free network → network whose degree distribution follows a power law, relative commonness of vertices with a degree that greatly exceeds the average
related to Examples · 2
Scale-free network → Here, There

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Important terminology

networks scale-free degree nodes network distribution model preferential attachment displaystyle doi barabási bibcode power 10 scale random law node graphs

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Scale-free networkis anetwork whose degree distribution follows a power law0.90text
Scale-free networkis arelative commonness of vertices with a degree that greatly exceeds the average0.90text
super-linear preferential attachmentinstance ofAlternative models0.80text
second-neighbour preferential attachment may appear to generate transient scale-free networksinstance ofAlternative models0.80text
but the degree distribution deviates from a power law as networks become very largeinstance ofAlternative models0.80text
the Internetinstance ofthe clustering coefficient of scale-free networks can vary significantly depending on other topological details.ImmunizationThe question of how to immunize efficiently scale fre…0.80text
social networks has been studied extensivelyinstance ofthe clustering coefficient of scale-free networks can vary significantly depending on other topological details.ImmunizationThe question of how to immunize efficiently scale fre…0.80text
the Internetinstance ofImmunizationThe question of how to immunize efficiently scale free networks which represent realistic networks0.80text
social networks has been studied extensivelyinstance ofImmunizationThe question of how to immunize efficiently scale free networks which represent realistic networks0.80text
interbank payment networksProteininstance ofand software module dependency graphsSome financial networks0.80text
the presence of small tightly connected communitiesinstance ofThis generates a power-law but the resulting graph differs from the actual Web graph in other properties0.80text
super-linear preferential attachmentinstance ofSome mechanisms0.80text

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