K-Scaffold subgraphs of Complex networks

Details K-Scaffold subgraphs of Complex networks K-Scaffold subgraphs of Complex networks

2007-09-21

arxiv.org/abs/0709.3431v1

Physics

Physics and Society

5 pages, 3 figures. Published in EuroPhysics Letters 2007 EPL 77 18004, doi

Scientific paper

10.1209/0295-5075/77/18004

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.

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