Emergence and growth of complex networks in adaptive systems

Jain, Sanjay ; Krishna, Sandeep (1999) Emergence and growth of complex networks in adaptive systems Computer Physics Communications, 121-12 . pp. 116-121. ISSN 0010-4655

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00104...

Related URL: http://dx.doi.org/10.1016/S0010-4655(99)00293-3


We consider the population dynamics of a set of species whose network of catalytic interactions is described by a directed graph. The relationship between the attractors of this dynamics and the underlying graph theoretic structures like cycles and autocatalytic sets is discussed. It is shown that when the population dynamics is suitably coupled to a slow dynamics of the graph itself, the network evolves towards increasing complexity driven by autocatalytic sets. Some quantitative measures of network complexity are described.

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Deposited On:11 Nov 2010 08:56
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