在三维空间中对距离图着色
Coloring the distance graph in three dimensions
摘要:
设Gn是n维欧几里得空间上连通有理欧氏距离点的图。ZF+DC具有一个不可达基数,G3具有可数色数,而G4具有不可数色数.
英文摘要:
Let Gn be the graph on n-dimensional Euclidean space connecting points of rational Euclidean distance. It is consistent relative to an inaccessible cardinal that ZF+DC holds and G3 has countable chromatic number, yet G4 has uncountable chromatic number.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。