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- W1978188022 abstract "We study the properties of the eigenvector corresponding to the Laplacian spectral radius of a graph and show some applications. We obtain some results on the Laplacian spectral radius of a graph by grafting and adding edges. We also determine the structure of the maximal Laplacian spectrum tree among trees with<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math>vertices and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:math>pendant vertices (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math>,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:math>fixed), and the upper bound of the Laplacian spectral radius of some trees." @default.
- W1978188022 created "2016-06-24" @default.
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- W1978188022 date "2013-01-01" @default.
- W1978188022 modified "2023-10-02" @default.
- W1978188022 title "Properties and Applications of the Eigenvector Corresponding to the Laplacian Spectral Radius of a Graph" @default.
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- W1978188022 doi "https://doi.org/10.1155/2013/524162" @default.
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