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Network growth with preferential attachment for high indegree and low outdegree

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  • Sevim, Volkan
  • Rikvold, Per Arne

Abstract

We study the growth of a directed transportation network, such as a food web, in which links carry resources. We propose a growth process in which new nodes (or species) preferentially attach to existing nodes with high indegree (in food-web language, number of prey) and low outdegree (or number of predators). This scheme, which we call inverse preferential attachment, is intended to maximize the amount of resources available to each new node. We show that the outdegree (predator) distribution decays at least exponentially fast for large outdegree and is continuously tunable between an exponential distribution and a delta function. The indegree (prey) distribution is poissonian in the large-network limit.

Suggested Citation

  • Sevim, Volkan & Rikvold, Per Arne, 2008. "Network growth with preferential attachment for high indegree and low outdegree," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2631-2636.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:11:p:2631-2636
    DOI: 10.1016/j.physa.2008.01.034
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    References listed on IDEAS

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    1. Neil Rooney & Kevin McCann & Gabriel Gellner & John C. Moore, 2006. "Structural asymmetry and the stability of diverse food webs," Nature, Nature, vol. 442(7100), pages 265-269, July.
    2. Jayanth R. Banavar & Amos Maritan & Andrea Rinaldo, 1999. "Size and form in efficient transportation networks," Nature, Nature, vol. 399(6732), pages 130-132, May.
    3. Richard J. Williams & Neo D. Martinez, 2000. "Simple rules yield complex food webs," Nature, Nature, vol. 404(6774), pages 180-183, March.
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