Sharp bound of the kth eigenvalue of trees

Jiansheng Chen

doi:10.1016/0012-365x(94)90104-x

Sharp bound of the kth eigenvalue of trees

Jiansheng Chen

https://doi.org/10.1016/0012-365x(94)90104-x

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Journal: Discrete Mathematics	Publication Date: Apr 1, 1994
Citations: 5	License type: elsevier-specific: oa user license

Affiliation: Huazhong University of Science and Technology

#Sharp Bound #Sharp Lower Bound + Show 2 more

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Abstract

The sharp lower bound of the kth largest positive eigenvalue of a tree T with n vertices, and the sharp lower bound of the positive eigenvalues of such a tree T are worked out in this study. A conjecture on the sharp bound of the kth eigenvalue of such a T is proved.

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