Geodesic
The path is the tree with smallest greatest Laplacian eigenvalue
Kragujevac Journal of Mathematics, Tome 24 (2002), p. 67

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Kragujevac J. Math. 24 (2002) 67-70. THE PATH IS THE TREE WITH SMALLEST GREATEST LAPLACIAN EIGENVALUEMiroslav Petrovic and Ivan 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 path has the smallest value of the greatest Laplacian eigenvalue.
Keywords: Laplacian spectrum (of graph), gratest Laplacian eigenvalue, extremal graphs, trees 
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Miroslav Petrović; Ivan Gutman. The path is the tree with smallest greatest Laplacian eigenvalue. Kragujevac Journal of Mathematics, Tome 24 (2002), p. 67 . http://geodesic.mathdoc.fr/item/KJM_2002_24_a6/