Bounding the sum of powers of the Laplacian eigenvalues of graphs

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	Bounding the sum of powers of the Laplacian eigenvalues of graphs
	Chen Xiao-dan ; Qian Jian-guo ; Qian JG(钱建国)
刊名	http://dx.doi.org/10.1007/s11766-011-2732-4
	2011-06
关键词	ZAGREB INDEXES WIENER ENERGY
英文摘要	National Natural Science Foundation of China [10831001]; For a non-zero real number alpha, let s (alpha) (G) denote the sum of the alpha th power of the non-zero Laplacian eigenvalues of a graph G. In this paper, we establish a connection between s (alpha) (G) and the first Zagreb index in which the Holder's inequality plays a key role. By using this result, we present a lot of bounds of s (alpha) (G) for a connected (molecular) graph G in terms of its number of vertices (atoms) and edges (bonds). We also present other two bounds for s (alpha) (G) in terms of connectivity and chromatic number respectively, which generalize those results of Zhou and TrinajstiA double dagger for the Kirchhoff index [B Zhou, N TrinajstiA double dagger. A note on Kirchhoff index, Chem. Phys. Lett., 2008, 455: 120-123].
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66852]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Chen Xiao-dan,Qian Jian-guo,Qian JG. Bounding the sum of powers of the Laplacian eigenvalues of graphs[J]. http://dx.doi.org/10.1007/s11766-011-2732-4,2011.
APA	Chen Xiao-dan,Qian Jian-guo,&钱建国.(2011).Bounding the sum of powers of the Laplacian eigenvalues of graphs.http://dx.doi.org/10.1007/s11766-011-2732-4.
MLA	Chen Xiao-dan,et al."Bounding the sum of powers of the Laplacian eigenvalues of graphs".http://dx.doi.org/10.1007/s11766-011-2732-4 (2011).