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arXiv · 1405.1001

Density decompositions of networks

Glencora Borradaile·Theresa Migler·Gordon Wilfong
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Abstract

We introduce a new topological descriptor of a network called the density decomposition which is a partition of the nodes of a network into regions of uniform density. The decomposition we define is unique in the sense that a given network has exactly one density decomposition. The number of nodes in each partition defines a density distribution which we find is measurably similar to the degree distribution of given real networks (social, internet, etc.) and measurably dissimilar in synthetic networks (preferential attachment, small world, etc.).

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Glencora Borradaile, Theresa Migler, Gordon Wilfong. 2017-12-15. Density decompositions of networks. https://arxiv.org/abs/1405.1001

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