KMS Of Academy of mathematics and systems sciences, CAS
On connected [g, f+1]-factors in graphs | |
Li, GH; Xu, Y; Chen, CP; Liu, ZH | |
2005 | |
发表期刊 | COMBINATORICA
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ISSN | 0209-9683 |
卷号 | 25期号:4页码:393-405 |
摘要 | Let G = (V(G),E(G)) be a graph with vertex set V(G) and edge set E(G), and g and f two positive integral functions from V(G) to Z(+) - {1} such that g(v) <= f (v) <= d(G)(v) for all v G V(G), where dG (V) is the degree of the vertex v. It is shown that every graph G, including both a [g, f]-factor and a hamiltonian path, contains a connected [g, f + 1]-factor. This result also extends Kano's conjecture concerning the existence of connected [k, k + 1]-factors in graphs. |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000231249900002 |
出版者 | SPRINGER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/2028 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Li, GH |
作者单位 | 1.Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China 2.Chinese Acad Sci, Inst Software, Beijing 100080, Peoples R China 3.Univ Georgia, CSBL, Dept Biochem & Mol Biol, Athens, GA 30605 USA 4.Chinese Acad Sci, Inst Math & Syst Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Li, GH,Xu, Y,Chen, CP,et al. On connected [g, f+1]-factors in graphs[J]. COMBINATORICA,2005,25(4):393-405. |
APA | Li, GH,Xu, Y,Chen, CP,&Liu, ZH.(2005).On connected [g, f+1]-factors in graphs.COMBINATORICA,25(4),393-405. |
MLA | Li, GH,et al."On connected [g, f+1]-factors in graphs".COMBINATORICA 25.4(2005):393-405. |
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