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Range-based attack on links in scale-free networks: are long-range links responsible for the small-world phenomenon?

Adilson E. Motter·Takashi Nishikawa·Ying-Cheng Lai
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Abstract

The small-world phenomenon in complex networks has been identified as being due to the presence of long-range links, i.e., links connecting nodes that would otherwise be separated by a long node-to-node distance. We find, surprisingly, that many scale-free networks are more sensitive to attacks on short-range than on long-range links. This result, besides its importance concerning network efficiency and/or security, has the striking implication that the small-world property of scale-free networks is mainly due to short-range links.

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Adilson E. Motter, Takashi Nishikawa, Ying-Cheng Lai. 2003-01-08. Range-based attack on links in scale-free networks: are long-range links responsible for the small-world phenomenon?. https://doi.org/10.1103/physreve.66.065103

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