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

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Abstract

By extending the definition of boxicity, we extend a Hellytype result given by Danzer and Grünbaum on 2-piercings of families of boxes in d-dimensional Euclidean space by lowering the dimension of the boxes in the ambient space.

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Authors and Affiliations

  1. University of Alaska, Fairbanks, USA

    H. Baños

  2. Universidad Nacional Autónoma de México, Mexico, México

    D. Oliveros

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  1. H. Baños
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  2. D. Oliveros
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Correspondence to D. Oliveros.

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Dedicated to the 70th birthday of T. Bisztriczky, G. Fejes Tóth, and A. Makai

The first author wishes to acknowledge partial support by a research assistantship, funded by the National Institutes of Health grant R01 GM117590.

The second author appreciates the hospitality of the department of Mathematics at U.C. Davis, support from scholarship PASPA (UNAM) and CONACYT during her sabbatical visit, as well as acknowledge support by proyecto PAPIIT 104915, 106318 and CONACYT Ciencia Básica 282280.

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Baños, H., Oliveros, D. A note on the intersection property for flat boxes and boxicity in \({\mathbb{R}^{d}}\). Acta Math. Hungar. 155, 74–88 (2018). https://doi.org/10.1007/s10474-018-0817-8

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  • DOI: https://doi.org/10.1007/s10474-018-0817-8

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