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Largest adjacency, signless Laplacian, and Laplacian H-eigenvalues of loose paths
Yue, Junjie; Zhang, Liping; Lu, Mei; Zhang, LP (reprint author), Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China.
Department空间科学部
Source PublicationFRONTIERS OF MATHEMATICS IN CHINA
2016
Volume11Issue:3Pages:623-645
ISSN1673-3452
Language英语
KeywordH-eigenvalue Hypergraph Adjacency Tensor Signless Laplacian Tensor Laplacian Tensor Loose Path
AbstractWe 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.
Indexed BySCI
Document Type期刊论文
Identifierhttp://ir.nssc.ac.cn/handle/122/5675
Collection空间科学部
Corresponding AuthorZhang, LP (reprint author), Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China.
Recommended Citation
GB/T 7714
Yue, Junjie,Zhang, Liping,Lu, Mei,et al. 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,&Zhang, LP .(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.
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