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Convexity and Discrete Geometry Including Graph Theory pp 145–154Cite as

On the Helly Dimension of Hanner Polytopes

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 148))

Abstract

In this paper we shall improve the known bounds for the Helly dimension of the \(L_1\)-sum of centrally symmetric compact convex bodies and, using this bounds, we give the complete list of Hanner polytopes with Helly dimension at most 5.

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References

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Author information

Authors and Affiliations

  1. University of Szeged, Bolyai Institute, Aradi Vértanúk tere 1, Szeged, H-6720, Hungary

    János Kincses

Authors
  1. János Kincses
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Correspondence to János Kincses .

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Editors and Affiliations

  1. Einstein Institute for Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel

    Karim Adiprasito

  2. Hungarian Academy of Sciences, Rényi Institute of Mathematics, Budapest, Hungary

    Imre Bárány

  3. Mathematics of the Roumanian Academy, ``Simion Stoilow'' Institute of, Bucharest, Romania

    Costin Vilcu

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Kincses, J. (2016). On the Helly Dimension of Hanner Polytopes. In: Adiprasito, K., Bárány, I., Vilcu, C. (eds) Convexity and Discrete Geometry Including Graph Theory. Springer Proceedings in Mathematics & Statistics, vol 148. Springer, Cham. https://doi.org/10.1007/978-3-319-28186-5_12

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