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arXiv · 2609.21978

Hypercube eigenfunctions with two strong nodal domains

Yize He·Qinghong Zhao
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Abstract

Bıyıko{\u g}lu, Hordijk, Leydold, Pisanski, and Stadler conjectured that, for every $n\geq3$ and $1\leq i\leq n-2$, the hypercube $Q_n$ admits a Laplacian eigenfunction with eigenvalue $2i$ and exactly two strong nodal domains. In this paper, we confirm this conjecture.

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Yize He, Qinghong Zhao. 2026-09-18. Hypercube eigenfunctions with two strong nodal domains. https://arxiv.org/abs/2609.21978

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