Random graphs with hidden color
(2003) In Physical Review E 68(1: 015102).- Abstract
- We propose and investigate a unifying class of sparse random graph models, based on a hidden coloring of edge-vertex incidences, extending an existing approach, random graphs with a given degree distribution, in a way that admits a nontrivial correlation structure in the resulting graphs. The approach unifies a number of existing random graph ensembles within a common general formalism, and allows for the analytic calculation of observable graph characteristics. In particular, generating function techniques are used to derive the size distribution of connected components (clusters) as well as the location of the percolation threshold where a giant component appears.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/304158
- author
- Söderberg, Bo LU
- organization
- publishing date
- 2003
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E
- volume
- 68
- issue
- 1: 015102
- publisher
- American Physical Society
- external identifiers
-
- wos:000184582500002
- pmid:12935185
- scopus:85035221045
- ISSN
- 1063-651X
- DOI
- 10.1103/PhysRevE.68.015102
- language
- English
- LU publication?
- yes
- id
- c3145654-afce-4021-8aa4-1aecd43731e4 (old id 304158)
- date added to LUP
- 2016-04-01 16:26:13
- date last changed
- 2024-01-11 08:02:23
@article{c3145654-afce-4021-8aa4-1aecd43731e4, abstract = {{We propose and investigate a unifying class of sparse random graph models, based on a hidden coloring of edge-vertex incidences, extending an existing approach, random graphs with a given degree distribution, in a way that admits a nontrivial correlation structure in the resulting graphs. The approach unifies a number of existing random graph ensembles within a common general formalism, and allows for the analytic calculation of observable graph characteristics. In particular, generating function techniques are used to derive the size distribution of connected components (clusters) as well as the location of the percolation threshold where a giant component appears.}}, author = {{Söderberg, Bo}}, issn = {{1063-651X}}, language = {{eng}}, number = {{1: 015102}}, publisher = {{American Physical Society}}, series = {{Physical Review E}}, title = {{Random graphs with hidden color}}, url = {{http://dx.doi.org/10.1103/PhysRevE.68.015102}}, doi = {{10.1103/PhysRevE.68.015102}}, volume = {{68}}, year = {{2003}}, }