KMS Of Academy of mathematics and systems sciences, CAS
An improved upper bound for the Laplacian spectral radius of graphs | |
Lu, Mei1; Liu, Huiqing2; Tian, Feng3 | |
2009-11-06 | |
发表期刊 | DISCRETE MATHEMATICS |
ISSN | 0012-365X |
卷号 | 309期号:21页码:6318-6321 |
摘要 | Let G be a simple graph with n vertices, m edges. Let Delta and delta be the maximum and minimum degree of G, respectively. If each edge of G belongs to t triangles (t >= 1), then we present a new upper bound for the Laplacian spectral radius of G as follows: lambda(1)(G) <= 2 Delta - t root(2 Delta - t)(2) + 8m -4 delta(n - 1) - 4 delta(2) + 4(delta - 1)Delta/2 Moreover, we give an example to illustrate that our result is, in some cases, the best. (C) 2009 Elsevier B.V. All rights reserved. |
关键词 | Graph Laplacian spectral radius Maximum and minimum degree |
DOI | 10.1016/j.disc.2009.06.012 |
语种 | 英语 |
资助项目 | NNSFC[10571105] ; NNSFC[10671081] ; NNSFC[10431020] ; NSF of Hubei Provincial Department of Education[D20081005] ; NSF of Hubei Provincial Department of Education[T200901] ; Open Research Fund of Hubei Key Laboratory of Applied Mathematics |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000272099900018 |
出版者 | ELSEVIER SCIENCE BV |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/9024 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Lu, Mei |
作者单位 | 1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Hubei Univ, Sch Math & Comp Sci, Wuhan 430062, 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 | Lu, Mei,Liu, Huiqing,Tian, Feng. An improved upper bound for the Laplacian spectral radius of graphs[J]. DISCRETE MATHEMATICS,2009,309(21):6318-6321. |
APA | Lu, Mei,Liu, Huiqing,&Tian, Feng.(2009).An improved upper bound for the Laplacian spectral radius of graphs.DISCRETE MATHEMATICS,309(21),6318-6321. |
MLA | Lu, Mei,et al."An improved upper bound for the Laplacian spectral radius of graphs".DISCRETE MATHEMATICS 309.21(2009):6318-6321. |
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