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arXiv · 2606.07844

Counting Hamiltonian Paths in 3-Regular Planar Graphs

Ira Pohl·Larry Stockmeyer
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Abstract

We introduce two infinite families of 3-regular planar graphs. Both families are conceptual adversaries to the Pohl-Warnsdorf algorithm for finding Hamiltonians. We provide a closed form calculation of the number of Hamiltonians.

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Ira Pohl, Larry Stockmeyer. 2026-06-05. Counting Hamiltonian Paths in 3-Regular Planar Graphs. https://arxiv.org/abs/2606.07844

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