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arXiv · 2205.03995

Crossings in Randomly Embedded Graphs

Santiago Arenas-Velilla·Octavio Arizmendi
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Abstract

We consider the number of crossings in a graph which is embedded randomly on a convex set of points. We give an estimate to the normal distribution in Kolmogorov distance which implies a convergence rate of order $n^{-1/2}$ for various families of graphs, including random chord diagrams or full cycles.

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Santiago Arenas-Velilla, Octavio Arizmendi. 2022-08-24. Crossings in Randomly Embedded Graphs. https://arxiv.org/abs/2205.03995

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