| 凸多面体欧拉公式的推广 |
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| 引用本文： | 伍启期. 凸多面体欧拉公式的推广[J]. 佛山科学技术学院学报(自然科学版), 2001, 19(1): 5-8 |
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| 作者姓名： | 伍启期 |
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| 作者单位： | 佛山科学技术学院数学系,广东,佛山,528000 |
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| 摘 要： | 将欧拉的凸面体公式,推广至由多面体的顶点生长出树的情形,证明了在此情形下,欧拉公式仍成立,还将与此对应的平面连通图的欧拉公式,推广至有自环及多重边的情形。
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| 关 键 词： | 凸多面体 树 平面连通图 自环 多重边 |
| 文章编号： | 1008-0171(2001)01-0005-04 |
| 修稿时间： | 2000-08-01 |
On the generalization of Euler's formula of convex polyhedron |
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| WU Qi-qi. On the generalization of Euler's formula of convex polyhedron[J]. Journal of Foshan University(Natural Science Edition), 2001, 19(1): 5-8 |
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| Authors: | WU Qi-qi |
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| Abstract: | In this paper, we show that the Euler's formula of convex polyhedron also holds in the following two cases:Case 1.Trees generating from some vertices of the polyhedron; Case 2. The connected planar graphs having loops or multiple edges. |
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| Keywords: | convex polyhedron tree connected planar graph loop multiple edge |
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