Almohammad, Sami and Lángi, Zsolt and Naszódi, Márton (2020) An analogue of a theorem of Steinitz for ball polyhedra in $\mathbb{R}^3$. AEQUATIONES MATHEMATICAE. ISSN 00019054 (In Press)
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Abstract
Steinitz's theorem states that a graph $G$ is the edgegraph 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 $\mathbb{R}^3$.
Item Type:  Article 

Subjects:  Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria 
Depositing User:  Dr. Zsolt Lángi 
Date Deposited:  21 Sep 2021 18:41 
Last Modified:  21 Sep 2021 18:41 
URI:  http://real.mtak.hu/id/eprint/130080 
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