On the disks with diameters the sides of a convex 5-gon

Huemer, Clemens; Pérez-Lantero, Pablo

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Huemer, Clemens

Pérez-Lantero, Pablo

Document typeConference report

Date issued2015

PublisherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II (MA2)

Rights accessRestricted access - publisher's policy

Abstract

We prove that for any convex pentagon there are two disks, among the five disks having a side of the pentagon as diameter and the midpoint of the side as its center, that do not intersect. This shows that K5 is never the intersection graph of such five disks.

CitationHuemer, C., Pérez-Lantero, P. On the disks with diameters the sides of a convex 5-gon. A: Encuentros de Geometría Computacional. "XVI Spanish Meeting on Computational Geometry". Barcelona: Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II (MA2), 2015, p. 108-111.

URIhttp://hdl.handle.net/2117/85548

Publisher versionhttp://www-ma2.upc.es/egc15/wp-content/uploads/2013/10/AbstractsXVIEGC.pdf