Abstract
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.
The first author acknowledges funding from an NSERC Discovery grant.
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Bonato, A., Meger, E. (2020). Iterated Global Models for Complex Networks. In: Kamiński, B., Prałat, P., Szufel, P. (eds) Algorithms and Models for the Web Graph. WAW 2020. Lecture Notes in Computer Science(), vol 12091. Springer, Cham. https://doi.org/10.1007/978-3-030-48478-1_10
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DOI: https://doi.org/10.1007/978-3-030-48478-1_10
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