Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/8354
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Colman, ER | - |
dc.contributor.author | Rodgers, GJ | - |
dc.date.accessioned | 2014-04-29T13:45:44Z | - |
dc.date.available | 2014-04-29T13:45:44Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Physica A: Statistical Mechanics and its Applications, 391(24), 6626 - 6631, Dec 2012 | en_US |
dc.identifier.issn | 0378-4371 | - |
dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S0378437112007030 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/8354 | - |
dc.description | Copyright @ 2012 Elsevier B.V. All rights reserved. This is a preprint version of the published article which can be accessed at the link below. | en_US |
dc.description.abstract | We introduce a collection of complex networks generated by a combination of preferential attachment and a previously unexamined process of "splitting" nodes of degree k into k nodes of degree 1. Four networks are considered, each evolves at each time step by either preferential attachment, with probability p, or splitting with probability 1-p. Two methods of attachment are considered; first, attachment of an edge between a newly created node and an existing node in the network, and secondly by attachment of an edge between two existing nodes. Splitting is also considered in two separate ways; first by selecting each node with equal probability and secondly, selecting the node with probability proportional to its degree. Exact solutions for the degree distributions are found and scale-free structure is exhibited in those networks where the candidates for splitting are chosen with uniform probability, those that are chosen preferentially are distributed with a power law with exponential cut-off. | en_US |
dc.description.sponsorship | Engineering and Physical Sciences Research Council | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.subject | Random networks | en_US |
dc.subject | Fragmentation | en_US |
dc.subject | Scale-free networks | en_US |
dc.subject | Disordered systems | en_US |
dc.subject | Critical phenomena | en_US |
dc.title | Kinetics of node splitting in evolving complex networks | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/j.physa.2012.07.034 | - |
pubs.organisational-data | /Brunel | - |
pubs.organisational-data | /Brunel/Brunel Active Staff | - |
pubs.organisational-data | /Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths | - |
pubs.organisational-data | /Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths/Maths | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups/Brunel University Random Systems Research Centre | - |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Preprint.pdf | 225.99 kB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.