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arXiv · 2210.10259

Hamilton Powers of Eulerian Digraphs

Enrico Celestino Colón·John Urschel
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Abstract

In this note, we prove that the $\lceil \tfrac{1}{2} \sqrt{n} \log_2^2 n \rceil^{th}$ power of a connected $n$-vertex Eulerian digraph is Hamiltonian, and provide an infinite family of digraphs for which the $\lfloor \sqrt{n}/2 \rfloor^{th}$ power is not.

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Enrico Celestino Colón, John Urschel. 2024-05-31. Hamilton Powers of Eulerian Digraphs. https://arxiv.org/abs/2210.10259

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