| 无向色图的Hamilton性 |
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| 引用本文： | 简国明. 无向色图的Hamilton性[J]. 韶关学院学报, 1996, 0(4) |
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| 作者姓名： | 简国明 |
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| 作者单位： | 赣南师范学院数学系 |
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| 摘 要： | 本文应用群论方法，证明了有限交换群的连通无向色图Ｇ（Ｆ，Ｓ）是Ｈａｍｉｌｔｏｎ图。并由此得到：（ｉ）Ｂｏｏｓｃｈ—Ｔｉｎｄｅｌｌ猜想的另一证明；（ｉｉ）有限交换群Ｆ具有对称色集Ｓ的连通色图Ｄ（Ｆ，Ｓ）是有向Ｈａｍｉｌｔｏｎ图。
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| 关 键 词： | 无向色图；Hamilton图；连通的；交换群 |
The Hamiltonian Property or Disdirected Color Graph |
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| Jian Guoming. The Hamiltonian Property or Disdirected Color Graph[J]. Journal of Shaoguan University(Social Science Edition), 1996, 0(4) |
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| Authors: | Jian Guoming |
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| Abstract: | In this paper,by using method of group theory, we proved that connected disdirected color graph G(F,S) of finite exchanged - group is Hamiltonian graph. And so we get:(i)the other proof of Boesch - Tindell's conjecture; (ii) a conclusion of which the connected color graph D(F, S) of finite exchanged - group F and symmetric color set S is directed Hamiltonian graph. |
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| Keywords: | Disdirected color graph Hamiltonian graph Connected Exchanged group |
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