English

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

Combinatorics 2018-01-26 v2

Abstract

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 dd-dimensional Euclidian space by lowering the dimension of the boxes in the ambient space.

Cite

@article{arxiv.1708.02185,
  title  = {A note on the intersection property for flat boxes and boxicity in $\mathbb{R}^d$},
  author = {Hector Baños and Déborah Oliveros},
  journal= {arXiv preprint arXiv:1708.02185},
  year   = {2018}
}
R2 v1 2026-06-22T21:08:47.561Z