Where do power laws come from?

dc.creatorCooper, Joshua N.
dc.creatorLu, Lincoln
dc.date2007-02-15
dc.date.accessioned2026-07-07T07:47:05Z
dc.date.available2026-07-07T07:47:05Z
dc.descriptionWhat distribution of graphical degree sequence is invariant under ``scaling''? Are these graphs always power-law graphs? We show the answer is a surprising ``yes'' for sparse graphs if we ignore isolated vertices, or more generally, the vertices with degrees less than a fixed constant $k$. We obtain a concentration result on the degree sequence of a random induced subgraph. The case of hypergraphs (or set-systems) is also examined.
dc.description12 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0702463
dc.identifierhttp://arxiv.org/abs/math/0702463
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124047
dc.subjectCombinatorics
dc.subject05C80; 68R10
dc.titleWhere do power laws come from?
dc.typetext

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