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Coloring the Voronoi tessellation of lattices
Journal of the London Mathematical Society ( IF 1.2 ) Pub Date : 2021-05-03 , DOI: 10.1112/jlms.12456 Mathieu Dutour Sikirić 1 , David A. Madore 2 , Philippe Moustrou 3 , Frank Vallentin 4
Journal of the London Mathematical Society ( IF 1.2 ) Pub Date : 2021-05-03 , DOI: 10.1112/jlms.12456 Mathieu Dutour Sikirić 1 , David A. Madore 2 , Philippe Moustrou 3 , Frank Vallentin 4
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In this paper we define the chromatic number of a lattice: It is the least number of colors one needs to color the interiors of the cells of the Voronoi tessellation of a lattice so that no two cells sharing a facet are of the same color.
中文翻译:
为晶格的 Voronoi 镶嵌着色
在本文中,我们定义了格子的色数:它是为格子的 Voronoi 镶嵌的单元格内部着色所需的最少颜色数,这样共享一个面的两个单元格就不会具有相同的颜色。
更新日期:2021-05-03
中文翻译:
为晶格的 Voronoi 镶嵌着色
在本文中,我们定义了格子的色数:它是为格子的 Voronoi 镶嵌的单元格内部着色所需的最少颜色数,这样共享一个面的两个单元格就不会具有相同的颜色。