SIGNLESS LAPLACIAN SPECTRAL CHARACTERIZATION OF SOME JOINS | |
Liu, Xiaogang1,2; Lu, Pengli3 | |
刊名 | ELECTRONIC JOURNAL OF LINEAR ALGEBRA |
2015-08 | |
卷号 | 30页码:443-454 |
关键词 | Signless Laplacian spectrum Q-cospectral Join Determined by the signless Laplacian spectrum |
ISSN号 | 1537-9582 |
DOI | 10.13001/1081-3810.1942 |
英文摘要 | The join of two disjoint graphs G and H, denoted by G boolean OR H, is the graph obtained by joining each vertex of G to each vertex of H. In this paper, the signless Laplacian characteristic polynomial of the join of two graphs is first formulated. And then, a lower bound for the ith largest signless Laplacian eigenvalue of a graph is given. Finally, it is proved that G boolean OR K-m, where G is an (n - 2)-regular graph on n vertices, and (K) over barn boolean OR K-2 except for n = 3, are determined by their signless Laplacian spectra. |
资助项目 | National Natural Science Foundation of China[11361033] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | INT LINEAR ALGEBRA SOC |
WOS记录号 | WOS:000364832700004 |
状态 | 已发表 |
内容类型 | 期刊论文 |
源URL | [http://119.78.100.223/handle/2XXMBERH/34011] |
专题 | 机电工程学院 |
通讯作者 | Liu, Xiaogang |
作者单位 | 1.Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China 2.Univ Melbourne, Dept Math & Stat, Parkville, Vic 3010, Australia 3.Lanzhou Univ Technol, Sch Comp & Commun, Lanzhou 730050, Gansu, Peoples R China |
推荐引用方式 GB/T 7714 | Liu, Xiaogang,Lu, Pengli. SIGNLESS LAPLACIAN SPECTRAL CHARACTERIZATION OF SOME JOINS[J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA,2015,30:443-454. |
APA | Liu, Xiaogang,&Lu, Pengli.(2015).SIGNLESS LAPLACIAN SPECTRAL CHARACTERIZATION OF SOME JOINS.ELECTRONIC JOURNAL OF LINEAR ALGEBRA,30,443-454. |
MLA | Liu, Xiaogang,et al."SIGNLESS LAPLACIAN SPECTRAL CHARACTERIZATION OF SOME JOINS".ELECTRONIC JOURNAL OF LINEAR ALGEBRA 30(2015):443-454. |
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