Geodesic
The star is the tree with greatest greatest Laplacian eigenvalue
Kragujevac Journal of Mathematics, Tome 24 (2002) no. 1
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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. 
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Ivan Gutman. The star is the tree with greatest greatest Laplacian eigenvalue. Kragujevac Journal of Mathematics, Tome 24 (2002) no. 1. http://geodesic.mathdoc.fr/item/KJM_2002_24_1_a5/