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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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