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Small Cycles in Small Worlds


  • Petra M. Gleiss
  • Peter F. Stadler
  • Andreas Wagner
  • David A. Fell


We characterize the distributions of short cycles in a large metabolic network previously shown to have small world characteristics and a power law degree distribution. Compared with three networks of the same connectivity, the metabolic network has a particularly large number of triangles and a deficit in large cycles. Short cycles reduce the length of detours when a connection is clipped, so we propose that long cycles in metabolism may have been selected against in order to shorten transition times and reduce the likelihood of oscillations in response to external perturbations.

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  • Petra M. Gleiss & Peter F. Stadler & Andreas Wagner & David A. Fell, 2000. "Small Cycles in Small Worlds," Working Papers 00-10-058, Santa Fe Institute.
  • Handle: RePEc:wop:safiwp:00-10-058

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    References listed on IDEAS

    1. Gernot Grabher & Walter W. Powell (ed.), 2004. "Networks," Books, Edward Elgar Publishing, volume 0, number 2771.
    2. Andreas Wagner & David Fell, 2000. "The Small World Inside Large Metabolic Networks," Working Papers 00-07-041, Santa Fe Institute.
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