Diffusion on complex networks: a way to probe their large-scale topological structures
(2004) XVIII Max Born Symposium @'Statistical Physics outside Physics@' 336(1-2). p.163-173- Abstract
- A diffusion process on complex networks is introduced in order to uncover their large-scale topological structures. This is achieved by focusing on the slowest decaying diffusive modes of the network. The proposed procedure is applied to real-world networks like a friendship network of known modular structure, and an Internet routing network. For the friendship network, its known structure is well reproduced. In case of the Internet, where the structure is far less well known, one indeed finds a modular structure, and modules can roughly be associated with individual countries. Quantitatively, the modular structure of the Internet manifests itself in an approximately 10 times larger participation ratio of its slowest decaying modes as... (More)
- A diffusion process on complex networks is introduced in order to uncover their large-scale topological structures. This is achieved by focusing on the slowest decaying diffusive modes of the network. The proposed procedure is applied to real-world networks like a friendship network of known modular structure, and an Internet routing network. For the friendship network, its known structure is well reproduced. In case of the Internet, where the structure is far less well known, one indeed finds a modular structure, and modules can roughly be associated with individual countries. Quantitatively, the modular structure of the Internet manifests itself in an approximately 10 times larger participation ratio of its slowest decaying modes as compared to the null model-a random scale-free network. The extreme edges of the Internet are found to correspond to Russian and US military sites. (C) 2004 Elsevier B.V. All rights reserved. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/284774
- author
- Simonsen, I ; Eriksen, Kasper LU ; Maslov, S and Sneppen, K
- organization
- publishing date
- 2004
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- statistical physics, complex random networks, network modules
- host publication
- Proceedings of the XVIII Max Born Symposium @'Statistical Physics outside Physics@' (Physica A: Statistical Mechanics and its Applications)
- volume
- 336
- issue
- 1-2
- pages
- 163 - 173
- publisher
- Elsevier
- conference name
- XVIII Max Born Symposium @'Statistical Physics outside Physics@'
- conference location
- Ladek Zdroj, Poland
- conference dates
- 2003-09-22 - 2003-09-25
- external identifiers
-
- wos:000220265300019
- scopus:1442358080
- ISSN
- 0378-4371
- DOI
- 10.1016/j.physa.2004.01.021
- language
- English
- LU publication?
- yes
- id
- 36dec1e9-014b-4da3-85d6-4acdb8ac4040 (old id 284774)
- date added to LUP
- 2016-04-01 16:41:36
- date last changed
- 2024-01-11 12:55:35
@inproceedings{36dec1e9-014b-4da3-85d6-4acdb8ac4040,
abstract = {{A diffusion process on complex networks is introduced in order to uncover their large-scale topological structures. This is achieved by focusing on the slowest decaying diffusive modes of the network. The proposed procedure is applied to real-world networks like a friendship network of known modular structure, and an Internet routing network. For the friendship network, its known structure is well reproduced. In case of the Internet, where the structure is far less well known, one indeed finds a modular structure, and modules can roughly be associated with individual countries. Quantitatively, the modular structure of the Internet manifests itself in an approximately 10 times larger participation ratio of its slowest decaying modes as compared to the null model-a random scale-free network. The extreme edges of the Internet are found to correspond to Russian and US military sites. (C) 2004 Elsevier B.V. All rights reserved.}},
author = {{Simonsen, I and Eriksen, Kasper and Maslov, S and Sneppen, K}},
booktitle = {{Proceedings of the XVIII Max Born Symposium @'Statistical Physics outside Physics@' (Physica A: Statistical Mechanics and its Applications)}},
issn = {{0378-4371}},
keywords = {{statistical physics; complex random networks; network modules}},
language = {{eng}},
number = {{1-2}},
pages = {{163--173}},
publisher = {{Elsevier}},
title = {{Diffusion on complex networks: a way to probe their large-scale topological structures}},
url = {{http://dx.doi.org/10.1016/j.physa.2004.01.021}},
doi = {{10.1016/j.physa.2004.01.021}},
volume = {{336}},
year = {{2004}},
}