Relative length of longest paths and cycles in graphs
文献类型:期刊论文
作者 | Liu, Huiqing; Lu, Mei; Tian, Feng |
刊名 | GRAPHS AND COMBINATORICS
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出版日期 | 2007-08-01 |
卷号 | 23期号:4页码:433-443 |
关键词 | relative length the longest path cycle |
ISSN号 | 0911-0119 |
DOI | 10.1007/s00373-007-0740-1 |
英文摘要 | For a graph G, let diff(G) = p(G)- c(G), where p(G) and c(G) denote the orders of a longest path and a longest cycle inG, respectively. Let G be a 3- connected graph of order n. In the paper, we give a best-possible lower bound to sigma(4)( G) to assure diff( G) <= 1. The result settles a conjecture in J. Graph Theory 37 ( 2001), 137 - 156. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000248581100008 |
出版者 | SPRINGER JAPAN KK |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4019] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Liu, Huiqing |
作者单位 | 1.Hubei Univ, Sch Math & Comp Sci, Wuhan 430062, Peoples R China 2.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Liu, Huiqing,Lu, Mei,Tian, Feng. Relative length of longest paths and cycles in graphs[J]. GRAPHS AND COMBINATORICS,2007,23(4):433-443. |
APA | Liu, Huiqing,Lu, Mei,&Tian, Feng.(2007).Relative length of longest paths and cycles in graphs.GRAPHS AND COMBINATORICS,23(4),433-443. |
MLA | Liu, Huiqing,et al."Relative length of longest paths and cycles in graphs".GRAPHS AND COMBINATORICS 23.4(2007):433-443. |
入库方式: OAI收割
来源:数学与系统科学研究院
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