On the Laplacian spectral radii of trees with perfect matchings |
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| Authors: | Xi-Ying Yuan Jia-Yu Shao Chang-Xiang He |
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| Affiliation: | (1) Department of Mathematics, Shanghai University, Shanghai, 200444, China;(2) Department of Mathematics, Tongji University, Shanghai, 200092, China;(3) College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China |
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| Abstract: | ![]()
Denote by  the set of trees of order 2k with perfect matchings. GUO [Guo, Linear Algebra Appl. 368:379–385, 2003.] determined the largest value of Laplacian spectral radii μ(T) of the trees T in  and gave the corresponding tree T in  whose μ(T) reaches this largest value. In this paper, we determine the second to the sixth largest values of μ(T) of the trees T in  and also give the corresponding trees T in  whose μ(T) reach these values. |
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| Keywords: | Tree Perfect matching Laplacian spectral radius |
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