Very Colorful Theorems

详细信息    查看全文

• 作者：Jorge L. Arocha ; Imre B¨¢r¨¢ny ; Javier Bracho ; Ruy Fabila and Luis Montejano
• 关键词：Convex sets ; Colorful versions ; Theorems of Helly ; Carath¨¦odory ; Kirchberger ; Tverberg and Hadwiger
• 刊名：Discrete and Computational Geometry
• 出版年：2009
• 出版时间：September, 2009
• 年：2009
• 卷：42
• 期：2
• 页码：142-154
• 全文大小：384.2 KB

文摘

We prove several colorful generalizations of classical theorems in discrete geometry. Moreover, the colorful generalization of KirchbergerR17;s theorem gives a generalization of the theorem of Tverberg on non-separated partitions.