On Steinitz's theorem concerning convex 3-polytopes and on some properties of planar graphs
On Steinitz's theorem concerning convex 3-polytopes and on some properties of planar graphs
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DOI:
10.1007/bfb0060102
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发表时间:
1969
期刊:
影响因子:
--
通讯作者:
D. Barnette
中科院分区:
文献类型:
--
作者:
D. Barnette
1. Introduction. The vertices and edges of every 3-polytope (ie, 3-dimensional convex polytope) P determine a graph G (p), the of P. It is very easy to prove that G (p) is planar and 3-connected for each 3-polytope P. The converse statement constitutes the nontrivial part of the result known as