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题名: Largest adjacency, signless Laplacian, and Laplacian H-eigenvalues of loose paths
作者: Yue, Junjie; Zhang, Liping; Lu, Mei
作者部门: 空间科学部
通讯作者: Zhang, LP (reprint author), Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China.
关键词: H-eigenvalue ; hypergraph ; adjacency tensor ; signless Laplacian tensor ; Laplacian tensor ; loose path
刊名: FRONTIERS OF MATHEMATICS IN CHINA
ISSN号: 1673-3452
出版日期: 2016
卷号: 11, 期号:3, 页码:623-645
收录类别: SCI
项目资助者: National Natural Science Foundation of China [11271221] ; Specialized Research Fund for State Key Laboratories
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.
语种: 英语
内容类型: 期刊论文
URI标识: http://ir.nssc.ac.cn/handle/122/5675
Appears in Collections:空间科学部_期刊论文

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