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DC Field | Value | Language |
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dc.contributor.author | Ergun, G | - |
dc.contributor.author | Rodgers, GJ | - |
dc.coverage.spatial | 6 | en |
dc.date.accessioned | 2006-10-27T14:35:57Z | - |
dc.date.available | 2006-10-27T14:35:57Z | - |
dc.date.issued | 2001 | - |
dc.identifier.citation | Physica A 303: 261-272, Sep 2001 | en |
dc.identifier.uri | http://www.elsevier.com/wps/find/journaldescription.cws_home/505702/description#description | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/310 | - |
dc.description.abstract | Three models of growing random networks with fitness dependent growth rates are analysed using the rate equations for the distribution of their connectivities. In the first model (A), a network is built by connecting incoming nodes to nodes of connectivity $k$ and random additive fitness $\eta$, with rate $(k-1)+ \eta $. For $\eta >0$ we find the connectivity distribution is power law with exponent $\gamma=<\eta>+2$. In the second model (B), the network is built by connecting nodes to nodes of connectivity $k$, random additive fitness $\eta$ and random multiplicative fitness $\zeta$ with rate $\zeta(k-1)+\eta$. This model also has a power law connectivity distribution, but with an exponent which depends on the multiplicative fitness at each node. In the third model (C), a directed graph is considered and is built by the addition of nodes and the creation of links. A node with fitness $(\alpha, \beta)$, $i$ incoming links and $j$ outgoing links gains a new incoming link with rate $\alpha(i+1)$, and a new outgoing link with rate $\beta(j+1)$. The distributions of the number of incoming and outgoing links both scale as power laws, with inverse logarithmic corrections. | en |
dc.format.extent | 316433 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Elsevier Science | en |
dc.subject | Statistical mechanics | en |
dc.subject | Disordered systems and neural networks | en |
dc.title | Growing random networks with fitness | en |
dc.type | Research Paper | en |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers Mathematical Sciences |
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FullText.pdf | 309.02 kB | Adobe PDF | View/Open |
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