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arXiv · 2608.09495

Row pathwidth of complete binary trees

Jędrzej Hodor·Piotr Micek
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Abstract

We show that if a complete binary tree of height $h$ is isomorphic to a subgraph of the strong product of a graph $H$ and a path, then $\mathrm{pw}(H)$ is $Ω(h)$. This solves a problem posed by Bose, Dujmović, Javarsineh, Morin, and Wood (2022). The proof was found by OpenAI's GPT-5.6 Sol Pro.

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Jędrzej Hodor, Piotr Micek. 2026-08-10. Row pathwidth of complete binary trees. https://arxiv.org/abs/2608.09495

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