| 空间图有纽结的正则投射 |
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| 引用本文： | 秦家虎,王树忠.空间图有纽结的正则投射[J].黑龙江大学自然科学学报,2007,24(6):804-807. |
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| 作者姓名： | 秦家虎 王树忠 |
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| 作者单位： | 黑龙江大学,数学科学学院,哈尔滨,150080;哈尔滨商业大学,基础科学学院,哈尔滨,150076 |
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| 基金项目： | the Youth Foundation of Heilongjiang University(QL200602) |
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| 摘 要： | Taniyam在文5]中构造了一个平面图有Tn的正则投射,其中平面图是由正五边形所构造的。推广了Taniyam的结果,证明了由任意奇数边(≥5)正多边形所构造的平面图都会有一个有Tn的正则投射,另外,对于这些平面图,还构造了一种新的有Tn的正则投射。
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| 关 键 词： | 正则投射 有纽结/链环的 有Tn的 |
| 文章编号： | 1001-7011(2007)06-0804-04 |
| 修稿时间： | 2006年11月15 |
Knot- inevitable regular projections of planar graphs |
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| Qin Jia-hu,Wang Shu-zhong.Knot- inevitable regular projections of planar graphs[J].Journal of Natural Science of Heilongjiang University,2007,24(6):804-807. |
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| Authors: | Qin Jia-hu Wang Shu-zhong |
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| Abstract: | For any integer n, Taniyama and Tsukamoto described a Tn - inevitable regular projection of a planar graph in 5], where the planar graph is constructed by regular pentagons. The authors extend the conclusion and show that all of the planar graphs constructed by regular polygons with odd number (≥5 ) of edges also have Tn - inevitable regular projections. Moreover, a new Tn - inevitable regular projection of such planar graphs and some related results are also given. |
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| Keywords: | regular projection knot/link-inevitable Tn-inevitable |
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