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arXiv · 2501.09511

Edge Exchangeable Graphs: Connectedness, Gaussianity and Completeness

Edward Eriksson
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Abstract

We characterize some asymptotic properties of edge exchangeable random graphs in terms of the measure used to generate them. In particular, we give a necessary and sufficient condition for eventual forever connectedness, a sufficient condition for asymptotic normality of the vertex count, and a necessary and sufficient condition for the produced graph to be eventually forever almost complete.

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Edward Eriksson. 2025-01-16. Edge Exchangeable Graphs: Connectedness, Gaussianity and Completeness. https://arxiv.org/abs/2501.09511

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