| (g,f) -因子和可扩图 |
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| 引用本文： | 李建湘,闫晓霞. (g,f) -因子和可扩图[J]. 数学物理学报(A辑), 2006, 26(3): 321-328 |
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| 作者姓名： | 李建湘 闫晓霞 |
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| 作者单位： | 湖南科技大学数学院，北京理工大学应用数学系 湘潭 411201，北京 100081 |
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| 基金项目： | 湖南科技厅科技攻关基金(04Fj4105)资助 |
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| 摘 要： | 设G是一个图,并设g和f是定义在V(G)上的整值函数使得对所有的点x∈ V(G)均有g(x)≤ f(x).称一个图G是(g,f,H) -可扩的,如果在删除了任意一个同构于H的子图中所有点后,剩下G的子图有一个(g,f) -因子.该文给出了(g,f,H) -可扩图的特征.进一步,研究了(g,f,H) -可扩(H=nK1)的性质.
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| 关 键 词： | (g,f) -因子 (g,f,H) -可扩图 |
| 文章编号： | 1003-3998(2006)03-321-08 |
| 收稿时间： | 2003-05-08 |
| 修稿时间： | 2004-08-10 |
(g,f)-factors and Extendable Graphs |
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| Li Jianxiang,Yan Xiaoxia. (g,f)-factors and Extendable Graphs[J]. Acta Mathematica Scientia, 2006, 26(3): 321-328 |
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| Authors: | Li Jianxiang Yan Xiaoxia |
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| Affiliation: | 1 College of Mathematics, Hunan University of Science and Technology, Xiangtan 411201; 2Department of Applied Mathematics, Beijing Institue of Technology, Beijing 100081 |
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| Abstract: | Let G be a graph, and let g and f be integer-valued functions defined on V(G) such that g(x)≤ f(x) for all x∈ V(G). A graph G is called a (g,f,H)-extendable ifafter deleting the vertices of any subgraph which is isomorphic to H the remaining subgraph of G has a (g,f)-factor. In thepaper the characterization of (g,f,H)-extendable graph is given. Furthermore, the properties of (g,f,n)-extendable graph(H=nK1) are studied. |
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| Keywords: | (g f)-factor (g f H)-extendable graph |
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