The existence of a convex polyhedron with respect to the constrained vertex norms
© 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...
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th-cmuir.6653943832-707192020-10-14T08:39:55Z The existence of a convex polyhedron with respect to the constrained vertex norms Supanut Chaidee Kokichi Sugihara Mathematics © 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. 2020-10-14T08:39:55Z 2020-10-14T08:39:55Z 2020-04-01 Journal 22277390 2-s2.0-85084434595 10.3390/math8040645 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85084434595&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70719 |
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Mathematics |
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Mathematics Supanut Chaidee Kokichi Sugihara The existence of a convex polyhedron with respect to the constrained vertex norms |
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© 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. |
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Journal |
| author |
Supanut Chaidee Kokichi Sugihara |
| author_facet |
Supanut Chaidee Kokichi Sugihara |
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Supanut Chaidee |
| title |
The existence of a convex polyhedron with respect to the constrained vertex norms |
| title_short |
The existence of a convex polyhedron with respect to the constrained vertex norms |
| title_full |
The existence of a convex polyhedron with respect to the constrained vertex norms |
| title_fullStr |
The existence of a convex polyhedron with respect to the constrained vertex norms |
| title_full_unstemmed |
The existence of a convex polyhedron with respect to the constrained vertex norms |
| title_sort |
existence of a convex polyhedron with respect to the constrained vertex norms |
| publishDate |
2020 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85084434595&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70719 |
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