| 无限图的匹配扩张 |
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| 引用本文： | 孟吉翔,张和平.无限图的匹配扩张[J].新疆大学学报(理工版),1995,12(3):1-6. |
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| 作者姓名： | 孟吉翔 张和平 |
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| 作者单位： | 新疆大学数学系 |
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| 摘 要： | 作为有限图的ｎ－可扩性的一个自然推广，本文引入了ｎ－可扩无限图的概念．我们讨论了ｎ－可扩无限图的若干特性，并证明了无限Ａｂｅｌ群上的连通Ｃａｙｌｅｙ图是２－可扩的当且仅当它不是双向无限路．
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| 关 键 词： | 无限图 n－可扩 无限Abel群 Cayley图 |
Matching Extension of Infinite Graphs |
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| Meng Jixiang and Zhang Heping.Matching Extension of Infinite Graphs[J].Journal of Xinjiang University(Science & Engineering),1995,12(3):1-6. |
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| Authors: | Meng Jixiang and Zhang Heping |
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| Abstract: | As a natural generalization of n-extendability of finite graphs,this paper introduces the concept of n-exterdable infinite graphs. We investigate the various properties of n-extendability of infinite graphs,and show that a connected Cayley graph of infinite groups is 2-extendable if and only if it is not isomorphic to a 2-way infinite path. |
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| Keywords: | infinite graph n-extendable infinite group Cayley graph |
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