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arXiv · 2505.19109

On Distributed Colouring of Hyperbolic Random Graphs

Yannic Maus·Janosch Ruff
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Abstract

We analyse the performance of simple distributed colouring algorithms under the assumption that the input graph is a hyperbolic random graph (HRG), a generative model capturing key properties of real-world networks such as power-law degree distributions and large clustering coefficients. Motivated by the shift from worst-case analysis to more realistic network models, we study the number of rounds and size of the colour space required to colour HRGs in the distributed setting.

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Yannic Maus, Janosch Ruff. 2025-05-25. On Distributed Colouring of Hyperbolic Random Graphs. https://arxiv.org/abs/2505.19109

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