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arXiv (math.PR) 2026-06-17 12:00 DOI: arXiv:2606.17992

Asymptotic enumeration of unlabelled cubic planar graphs

Abstract

arXiv:2606.17992v1 Announce Type: cross Abstract: We determine the precise asymptotic number of unlabelled cubic planar graphs with $n$ vertices. Our approach blends generating series methods with computational bounds and probabilistic local large deviation theorems.

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