Properties of random graphs with hidden color
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/301572
- author
- Söderberg, Bo LU
- organization
- publishing date
- 2003
- 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
- pmid:14525049
- 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
- 2016-04-01 16:00:05
- date last changed
- 2024-01-10 23:41:29
@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}}, doi = {{10.1103/PhysRevE.68.026107}}, volume = {{68}}, year = {{2003}}, }