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Andreas Fukami Holmsen

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Related publications (3)

Please note that this is not a complete list of this person’s publications. It includes only semantically relevant works. For a full list, please refer to Infoscience.

Near equipartitions of colored point sets

Jan Kyncl, Adrian Claudiu Valculescu, Andreas Fukami Holmsen

Suppose that nk points in general position in the plane are colored red and blue, with at least n points of each color. We show that then there exist n pairwise disjoint convex sets, each of them containing k of the points, and each of them containing poin ...

Elsevier Science Bv2017

Points surrounding the origin

János Pach, Andreas Fukami Holmsen

Suppose d > 2, n > d+1, and we have a set P of n points in d-dimensional Euclidean space. Then P contains a subset Q of d points such that for any p ∈ P, the convex hull of Q∪{p} does not contain the origin in its interior. We also show that for non-emp ...

2008

Intersecting convex sets by rays

János Pach, Radoslav Fulek, Andreas Fukami Holmsen

Association for Computing Machinery, Inc.2008