Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/70719
Title: The existence of a convex polyhedron with respect to the constrained vertex norms
Authors: Supanut Chaidee
Kokichi Sugihara
Authors: Supanut Chaidee
Kokichi Sugihara
Keywords: Mathematics
Issue Date: 1-Apr-2020
Abstract: © 2020 by the authors. Given a set of constrained vertex norms, we proved the existence of a convex configuration with respect to the set of distinct constrained vertex norms in the two-dimensional case when the constrained vertex norms are distinct or repeated for, at most, four points. However, we proved that there always exists a convex configuration in the three-dimensional case. In the application, we can imply the existence of the non-empty spherical Laguerre Voronoi diagram.
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85084434595&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/70719
ISSN: 22277390
Appears in Collections:CMUL: Journal Articles

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