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:
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影响因子:
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通讯作者:
D. Barnette
D. Barnette
中科院分区:
其他
文献类型:
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作者:
D. Barnette

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1.导论.每一个3-多面体(即3维凸多面体)P的顶点和边决定了一个图G(p),P的。证明G(p)是平面的并且对于每一个3-多面体P是3-连通的是非常容易的。匡威命题构成了已知结果的非平凡部分,
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