A note on the intersection property for flat boxes and boxicity in $\mathbb{R}^d$

Hector Baños, Déborah Oliveros · arXiv (Cornell University) · 2017

By extending the definition of boxicity, we extend a Helly-type result given by Danzer and Grumbaum on 2-piercings of family of boxes in $d$-dimensional Euclidian space by lowering the dimension of the boxes in the ambient space.

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