Iterated Global Models for Complex Networks
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We introduce the Iterated Global model as a deterministic graph process that simulates several properties of complex networks. In this model, for every set S of nodes of a prescribed cardinality, we add a new node that is adjacent to every node in S. We focus on the case where the size of S is approximately half the number of nodes at each time-step, and we refer to this as the half-model. The half-model provably generate graphs that densify over time, have bad spectral expansion, and low diameter. We derive the clique, chromatic, and domination numbers of graphs generated by the model.
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