Sanjay Jain

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Pubs: Scientific Commons

Jain, Sanjay, Sandeep Krishna. 2002. [ Graph Theory and the Evolution of Autocatalytic Networks] We give a self-contained introduction to the theory of directed graphs, leading up to the relationship between the Perron-Frobenius eigenvectors of a graph and its autocatalytic sets. Then we discuss...

Jain, Sanjay, Sandeep Krishna. 1999. [ Emergence and growth of complex networks in adaptive systems] 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...

Jain, Sanjay, Sandeep Krishna. 1998. [ Autocatalytic Sets and the Growth of Complexity in an Evolutionary Model] A model of $s$ interacting species is considered with two types of dynamical variables. The fast variables are the populations of the species and slow variables the links of a directed graph that...