Geodesic
The star is the tree with greatest greatest Laplacian eigenvalue
Kragujevac Journal of Mathematics, Tome 24 (2002), p. 61 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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Kragujevac J. Math. 24 (2002) 61-65. THE STAR IS THE TREE WITH GREATEST GREATEST LAPLACIAN EIGENVALUEIvan Gutman Faculty of Science, P. O. Box 60, 34000 Kragujevac, Yugoslavia (Received August 23, 2002) Abstract. It is shown that among all trees with a fixed number of vertices the star has the greatest value of the greatest Laplacian eigenvalue.
Classification : 05C50 05C05
Keywords: Laplacian spectrum (of graph), gratest Laplacian eigenvalue, extremal graphs, trees 
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Ivan Gutman. The star is the tree with greatest greatest Laplacian eigenvalue. Kragujevac Journal of Mathematics, Tome 24 (2002), p. 61 . http://geodesic.mathdoc.fr/item/KJM_2002_24_a5/