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Properties of random graphs with hidden color

Söderberg, Bo LU (2003) In Physical Review E 68(2: 026107).
Abstract
We investigate in some detail a recently suggested general class of ensembles of sparse undirected random graphs based on a hidden stub coloring, with or without the restriction to nondegenerate graphs. The calculability of local and global structural properties of graphs from the resulting ensembles is demonstrated. Cluster size statistics are derived with generating function techniques, yielding a well-defined percolation threshold. Explicit rules are derived for the enumeration of small subgraphs. Duality and redundancy is discussed, and subclasses corresponding to commonly studied models are identified.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E
volume
68
issue
2: 026107
publisher
American Physical Society
external identifiers
  • wos:000185194400017
  • scopus:42749107811
ISSN
1063-651X
DOI
10.1103/PhysRevE.68.026107
language
English
LU publication?
yes
id
76181984-3c0f-433b-98ea-7d4e2f938161 (old id 301572)
date added to LUP
2007-09-22 11:24:53
date last changed
2018-10-03 12:14:01
@article{76181984-3c0f-433b-98ea-7d4e2f938161,
  abstract     = {We investigate in some detail a recently suggested general class of ensembles of sparse undirected random graphs based on a hidden stub coloring, with or without the restriction to nondegenerate graphs. The calculability of local and global structural properties of graphs from the resulting ensembles is demonstrated. Cluster size statistics are derived with generating function techniques, yielding a well-defined percolation threshold. Explicit rules are derived for the enumeration of small subgraphs. Duality and redundancy is discussed, and subclasses corresponding to commonly studied models are identified.},
  author       = {Söderberg, Bo},
  issn         = {1063-651X},
  language     = {eng},
  number       = {2: 026107},
  publisher    = {American Physical Society},
  series       = {Physical Review E},
  title        = {Properties of random graphs with hidden color},
  url          = {http://dx.doi.org/10.1103/PhysRevE.68.026107},
  volume       = {68},
  year         = {2003},
}