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Author
dc.contributor.author
Fekete, A 
Author
dc.contributor.author
Vattay, G 
Author
dc.contributor.author
Kocarev, L 
Availability Date
dc.date.accessioned
2020-08-11T08:06:32Z
Availability Date
dc.date.available
2020-08-11T08:06:32Z
Release
dc.date.issued
2006
uri
dc.identifier.uri
http://hdl.handle.net/10831/47733
Abstract
dc.description.abstract
Node betweenness has been studied recently by a number of authors, but until now less attention has been paid to edge betweenness. In this paper, we present an exact analytic study of edge betweenness in evolving scale-free and non-scale-free trees. We aim at the probability distribution of edge betweenness under the condition that a local property, the in-degree of the "younger" node of a randomly selected edge, is known. En route to the conditional distribution of edge betweenness the exact joint distribution of cluster size and in-degree, and its one-dimensional marginal distributions have been presented in the paper as well. From the derived probability distributions the expectation values of different quantities have been calculated. Our results provide an exact solution not only for infinite, but for finite networks as well.
Language
dc.language
Angol
Title
dc.title
Distribution of edge load in scale-free trees
Type
dc.type
folyóiratcikk
Date Change
dc.date.updated
2020-05-13T12:35:08Z
Doi ID
dc.identifier.doi
10.1103/PhysRevE.73.046102
Wos ID
dc.identifier.wos
000237146800010
ID Scopus
dc.identifier.scopus
33645676768
MTMT ID
dc.identifier.mtmt
1388945
Issue Number
dc.identifier.issue
4
abbreviated journal
dc.identifier.jabbrev
PHYS REV E STAT NONLIN
Journal
dc.identifier.jtitle
PHYSICAL REVIEW E - STATISTICAL, NONLINEAR AND SOFT MATTER PHYSICS (2001-2015)
Volume Number
dc.identifier.volume
73
Release Date
dc.description.issuedate
2006
Pubmed ID
dc.identifier.pubmed
16711873
department of Author
dc.contributor.institution
Fizika Doktori Iskola
department of Author
dc.contributor.institution
Komplex Rendszerek Fizikája Tanszék
Author institution
dc.contributor.department
Komplex Rendszerek Fizikája Tanszék
Author institution
dc.contributor.department
Komplex Rendszerek Fizikája Tanszék


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Distribution of edge load in scale-free trees
 

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