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Random removal of edges from scale free graphs

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  • Martin, S.
  • Carr, R.D.
  • Faulon, J.-L.

Abstract

It has been discovered that many naturally occurring networks (the internet, the power grid of the western US, various biological networks, etc.) satisfy a power-law degree distribution. Such scale-free networks have many interesting properties, one of which is robustness to random damage. This problem has been analyzed from the point of view of node deletion and connectedness. Recently, it has also been considered from the point of view of node deletion and scale preservation. In this paper we consider the problem from the point of view of edge deletion and scale preservation. In agreement with the work on node deletion and scale preservation, we show that a scale-free graph should not be expected to remain scale free when edges are removed at random.

Suggested Citation

  • Martin, S. & Carr, R.D. & Faulon, J.-L., 2006. "Random removal of edges from scale free graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 870-876.
    • Handle: RePEc:eee:phsmap:v:371:y:2006:i:2:p:870-876
    DOI: 10.1016/j.physa.2006.04.046
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    References listed on IDEAS

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    1. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
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    Cited by:

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    2. Amirhassan Kermanshah & Sybil Derrible, 2017. "Robustness of road systems to extreme flooding: using elements of GIS, travel demand, and network science," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 86(1), pages 151-164, March.

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