Network growth with preferential attachment for high indegree and low outdegree

Volkan Sevim and Per Arne Rikvold

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 11, 2631-2636

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.

Keywords: Directed networks; Transportation networks; Food webs; Inverse preferential attachment; Degree distributions (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:11:p:2631-2636

DOI: 10.1016/j.physa.2008.01.034

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