On the weighted trees with given degree sequence and positive weight set |
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Authors: | Shang-Wang Tan |
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Institution: | Department of Mathematics, China University of Petroleum, Dongying 257061, China |
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Abstract: | We determine the (unique) weighted tree with the largest spectral radius with respect to the adjacency and Laplacian matrix in the set of all weighted trees with a given degree sequence and positive weight set. Moreover, we also derive the weighted trees with the largest spectral radius with respect to the matrices mentioned above in the sets of all weighted trees with a given maximum degree or pendant vertex number and so on. |
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Keywords: | 05C50 |
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