The star is the tree with greatest greatest Laplacian eigenvalue

Ivan Gutman

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Displaying similar documents to “The star is the tree with greatest greatest Laplacian eigenvalue”

The path is the tree with smallest greatest Laplacian eigenvalue

Miroslav Petrović, Ivan Gutman (2002)

Kragujevac Journal of Mathematics

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On the multiplicity of Laplacian eigenvalues of graphs

Ji-Ming Guo, Lin Feng, Jiong-Ming Zhang (2010)

Czechoslovak Mathematical Journal

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In this paper we investigate the effect on the multiplicity of Laplacian eigenvalues of two disjoint connected graphs when adding an edge between them. As an application of the result, the multiplicity of 1 as a Laplacian eigenvalue of trees is also considered.