On the Chromatic Number of 2-Dimensional Spheres

نویسندگان

چکیده

In 1976 Simmons conjectured that every coloring of a 2-dimensional sphere radius strictly greater than 1/2 in three colors has pair monochromatic points at distance 1 apart. We prove this conjecture.

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ژورنال

عنوان ژورنال: Discrete and Computational Geometry

سال: 2023

ISSN: ['1432-0444', '0179-5376']

DOI: https://doi.org/10.1007/s00454-023-00483-3