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arXiv · 2505.23562

Higher-dimensional generalization of Youngs' theorem and circular colorings

Kengo Enami·Takahiro Matsushita
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Abstract

In 1996, Youngs proved that any quadrangulation of the real projective plane is not 3-chromatic. This result has been extended in various directions over the years, including to other non-orientable closed surfaces, higher-dimensional analogues of quadrangulations and circular colorings. In this paper, we provide a generalization which yields some of these extensions of Youngs' theorem.

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Kengo Enami, Takahiro Matsushita. 2026-07-01. Higher-dimensional generalization of Youngs' theorem and circular colorings. https://doi.org/10.1016/j.jctb.2026.06.002

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