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arXiv · 2606.28890

Logarithmic convergence of finite projective planes

Márton Borbényi·Panna Tímea Fekete·Aranka Hrušková·Ander Lamaison
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Abstract

In this paper, we study the so-called log-convergence of graphs defined by Balázs Szegedy (arXiv:1504.00858). We answer his Question 4 affirmatively: the sequence of incidence graphs of projective planes over finite fields log-converges, and the limit coincides with that of a particular random graph model.

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Márton Borbényi, Panna Tímea Fekete, Aranka Hrušková, Ander Lamaison. 2026-06-27. Logarithmic convergence of finite projective planes. https://arxiv.org/abs/2606.28890

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