Largest adjacency, signless Laplacian, and Laplacian H-eigenvalues of loose paths

	Largest adjacency, signless Laplacian, and Laplacian H-eigenvalues of loose paths
	Yue, Junjie; Zhang, Liping; Lu, Mei
刊名	FRONTIERS OF MATHEMATICS IN CHINA
	2016
卷号	11 期号:3 页码:623-645
关键词	H-eigenvalue hypergraph adjacency tensor signless Laplacian tensor Laplacian tensor loose path
ISSN号	1673-3452
通讯作者	Zhang, LP (reprint author), Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China.
英文摘要	We investigate k-uniform loose paths. We show that the largest H-eigenvalues of their adjacency tensors, Laplacian tensors, and signless Laplacian tensors are computable. For a k-uniform loose path with length l >= 3, we show that the largest H-eigenvalue of its adjacency tensor is ((1 + root 5)/2)(2/k) when l = 3 and lambda(A) = 3(1/k) when l = 4, respectively. For the case of l >= 5, we tighten the existing upper bound 2. We also show that the largest H-eigenvalue of its signless Laplacian tensor lies in the interval (2, 3) when l >= 5. Finally, we investigate the largest H-eigenvalue of its Laplacian tensor when k is even and we tighten the upper bound 4.
收录类别	SCI
语种	英语
内容类型	期刊论文
源URL	[http://ir.nssc.ac.cn/handle/122/5675]
专题	国家空间科学中心_空间科学部
推荐引用方式 GB/T 7714	Yue, Junjie,Zhang, Liping,Lu, Mei. Largest adjacency, signless Laplacian, and Laplacian H-eigenvalues of loose paths[J]. FRONTIERS OF MATHEMATICS IN CHINA,2016,11(3):623-645.
APA	Yue, Junjie,Zhang, Liping,&Lu, Mei.(2016).Largest adjacency, signless Laplacian, and Laplacian H-eigenvalues of loose paths.FRONTIERS OF MATHEMATICS IN CHINA,11(3),623-645.
MLA	Yue, Junjie,et al."Largest adjacency, signless Laplacian, and Laplacian H-eigenvalues of loose paths".FRONTIERS OF MATHEMATICS IN CHINA 11.3(2016):623-645.