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arXiv · 2205.12764

Square roots of nearly planar graphs

Zdeněk Dvořák·Benjamin Moore·Abhiruk Lahiri
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Abstract

We prove that it is NP-hard to decide whether a graph is the square of a 6-apex graph. This shows that the square root problem is not tractable for squares of sparse graphs (or even graphs from proper minor-closed classes).

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Zdeněk Dvořák, Benjamin Moore, Abhiruk Lahiri. 2022-05-25. Square roots of nearly planar graphs. https://arxiv.org/abs/2205.12764

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