| 有向循环图的圈直积分解、哈密顿性及自同构群 |
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| 引用本文： | 孟吉翔,郭晓峰.有向循环图的圈直积分解、哈密顿性及自同构群[J].新疆大学学报(理工版),1992,9(3):7-12. |
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| 作者姓名： | 孟吉翔 郭晓峰 |
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| 作者单位： | 新疆大学数学系，新疆大学数学系 |
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| 摘 要： | 本文给出了有向循环图可分解为圈的直积的一个充分条件,基于这一结果,讨论了它们的哈密顿性及自同构群。
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| 关 键 词： | 循环图 自同构群 直积 圈 哈米顿性 |
THE CYCLE CARTESIAN PRODUCT DECOMPOSITION HAMILTONIAN PROPERTR, AND THE AUTOMORPHISM GROUP OFDIRECTED CIRCULANT |
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| Meng Jixiang,Guo Xiaofeng Dept. Math.,Xinjiang University.THE CYCLE CARTESIAN PRODUCT DECOMPOSITION HAMILTONIAN PROPERTR, AND THE AUTOMORPHISM GROUP OFDIRECTED CIRCULANT[J].Journal of Xinjiang University(Science & Engineering),1992,9(3):7-12. |
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| Authors: | Meng Jixiang Guo Xiaofeng Dept Math Xinjiang University |
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| Abstract: | In this paper, we give a sufficient condition which guarantees that a directed circulant can be decomposed into the Cartesian product of some cycles. Based on this result, we discussed their Hamiltonian properties and automorphism groups. |
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| Keywords: | circulant Hamiltonian property automorphism group |
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