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arXiv · 2605.20361

Spanning triangulations in random graphs

S. Vakhrushev·M. Zhukovskii
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Abstract

In 1991 Bollobás and Frieze found the threshold for the emergence of a spanning triangulation of a triangle in the binomial random graph, up to a logarithmic factor. In this paper, we find the threshold probability for the emergence of a spanning triangulation of a $k$-gon for any $3\leq k\leq n$, up to a constant factor.

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S. Vakhrushev, M. Zhukovskii. 2026-05-19. Spanning triangulations in random graphs. https://arxiv.org/abs/2605.20361

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