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Hypercube eigenfunctions with two strong nodal domains

Yize He, Qinghong Zhao

Source record

Source: arXiv

Published: Sep 18, 2026

arXiv: 2609.21978

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Source abstract

Bıyıko{\u g}lu, Hordijk, Leydold, Pisanski, and Stadler conjectured that, for every n3n\geq3 and 1in21\leq i\leq n-2, the hypercube QnQ_n admits a Laplacian eigenfunction with eigenvalue 2i2i and exactly two strong nodal domains. In this paper, we confirm this conjecture.

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Hypercube eigenfunctions with two strong nodal domains — Mathematical Frontier Network