| Issue |
EPL
Volume 77, Number 1, January 2007
|
|
|---|---|---|
| Article Number | 18004 | |
| Number of page(s) | 5 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/77/18004 | |
| Published online | 03 January 2007 | |
-scaffold subgraphs of complex networks
1
ICREA-Complex Systems Lab, Universitat Pompeu Fabra - Dr. Aiguader 80, 08003 Barcelona, Spain
2
Santa Fe Institute - 1399 Hyde Park Road, NM 87501, USA
Corresponding author: ricard.sole@upf.edu
Received:
4
August
2006
Accepted:
9
November
2006
Complex networks with high numbers of nodes or links are often difficult to analyse. However, not all elements contribute equally to their structural patterns. A small number of elements (the hubs) seem to play a particularly relevant role in organizing the overall structure around them. But other parts of the architecture (such as hub-hub connecting elements) are also important. In this letter we present a new type of substructure, to be named the K-scaffold subgraph, able to capture all the essential network components. Their key features, including the so-called critical scaffold graph, are analytically derived.
PACS: 89.75.Fb – Structures and organization in complex systems / 05.70.Jk – Critical point phenomena / 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions
© Europhysics Letters Association, 2007
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