Emergence and Growth of Complex Networks in Adaptive Systems

Details Emergence and Growth of Complex Networks in Adaptive Systems Emergence and Growth of Complex Networks in Adaptive Systems

1998-10-15

arxiv.org/abs/adap-org/9810005v1

Physics

Condensed Matter

10 pages (including figures), 3 Postscript figures

Scientific paper

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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