Abstract
We introduce the notion of globally updating evolution for a class of weighted networks, in which the weight of a link is characterized by the amount of data packet transport flowing through it. By noting that the packet transport over the network is determined nonlocally, this approach can explain the generic nonlinear scaling between the strength and the degree of a node. We demonstrate by a simple model that the strength-driven evolution scheme recently introduced can be generalized to a nonlinear preferential attachment rule, generating the power-law behaviors in degree and in strength simultaneously.
| Original language | English |
|---|---|
| Article number | 017103 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 72 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2005 Jul 1 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
Nonlocal evolution of weighted scale-free networks. / Goh, Kwang-Il; Kahng, B.; Kim, D.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 72, No. 1, 017103, 01.07.2005.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Nonlocal evolution of weighted scale-free networks
AU - Goh, Kwang-Il
AU - Kahng, B.
AU - Kim, D.
PY - 2005/7/1
Y1 - 2005/7/1
N2 - We introduce the notion of globally updating evolution for a class of weighted networks, in which the weight of a link is characterized by the amount of data packet transport flowing through it. By noting that the packet transport over the network is determined nonlocally, this approach can explain the generic nonlinear scaling between the strength and the degree of a node. We demonstrate by a simple model that the strength-driven evolution scheme recently introduced can be generalized to a nonlinear preferential attachment rule, generating the power-law behaviors in degree and in strength simultaneously.
AB - We introduce the notion of globally updating evolution for a class of weighted networks, in which the weight of a link is characterized by the amount of data packet transport flowing through it. By noting that the packet transport over the network is determined nonlocally, this approach can explain the generic nonlinear scaling between the strength and the degree of a node. We demonstrate by a simple model that the strength-driven evolution scheme recently introduced can be generalized to a nonlinear preferential attachment rule, generating the power-law behaviors in degree and in strength simultaneously.
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UR - http://www.scopus.com/inward/citedby.url?scp=27244457911&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.72.017103
DO - 10.1103/PhysRevE.72.017103
M3 - Article
VL - 72
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 1
M1 - 017103
ER -