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- W3202497319 abstract "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 $$mathbb {R}^3$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> </mml:math> ." @default.
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- W3202497319 date "2021-09-24" @default.
- W3202497319 modified "2023-10-07" @default.
- W3202497319 title "An analogue of a theorem of Steinitz for ball polyhedra in $$mathbb {R}^3$$" @default.
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- W3202497319 doi "https://doi.org/10.1007/s00010-021-00815-9" @default.
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