Toroidal embeddings of K7
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摘要: 研究\,$K_7$\,在环面上不同的嵌入的个数. 证明了, $K_7$\,在环面上有且仅有\,$2\times5!$\,个不同的嵌入, 并且\,$K_7$\,在环面上每一个嵌入的几何对偶图都是二部图. 从而证明了, $K_7$\,在环面上每一个嵌入都是可\,Gr${\rm\ddot{u}}$nbaum\,染色的.
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关键词:
- 环面 /
- 嵌入 /
- Gr${\rm\ddot{u}}$nbaum\,染色
Abstract: In this paper, we showed that there are exactly $2\times5!$ embeddings of $K_7$ in the torus. All of such embeddings are triangular permitting $Gr\ddot{u}nbaum$ coloring.-
Key words:
- torus /
- embedding /
- Gr$\ddot{\rm u}$nbaum coloring
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