Almohammad, Sami Mezal and Lángi, Zsolt and Naszódi, Márton (2021) An analogue of a theorem of Steinitz for ball polyhedra in R³. AEQUATIONES MATHEMATICAE, 96 (2). pp. 403-415. ISSN 0001-9054
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Official URL: https://doi.org/10.1007/s00010-021-00815-9
Abstract
Steinitz’s theorem states that a graph G is the edge-graph of a 3-dimensional convex polyhedron if and only if, G is simple, plane and 3-connected. We prove an analogue of this theorem for ball polyhedra, that is, for intersections of finitely many unit balls in R³.
| Item Type: | Article |
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| Uncontrolled Keywords: | Steinitz’s theorem, Polyhedron, Ball polyhedron, Edge-graph |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria |
| Depositing User: | Dr. Márton Naszódi |
| Date Deposited: | 27 Sep 2023 13:33 |
| Last Modified: | 27 Sep 2023 13:33 |
| URI: | http://real.mtak.hu/id/eprint/175291 |
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