Geodesic
Extremal Values of Merrifield-Simmons Index for Trees with Two Branching Vertices
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 1, p. 97 .

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In this paper we find trees with minimal and maximal Merrifield-Simmons index over the set $\Omega \left( n,2\right) $ of all trees with $n$ vertices and $2$ branching vertices, and also over the subset $\Omega ^{t}\left( n,2\right) $ of all trees in $\Omega \left( n,2\right)$ such that the branching vertices are connected by the path $P_t$.
Classification : 05C69, 05C35 05C05
Keywords: Merrifield-Simmons index, trees, branching vertices 
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     author = {Roberto Cruz and Carlos Alberto Marin and Juan Rada},
     title = {Extremal {Values} of {Merrifield-Simmons} {Index} for {Trees} with {Two} {Branching} {Vertices}},
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Roberto Cruz; Carlos Alberto Marin; Juan Rada. Extremal Values of Merrifield-Simmons Index for Trees with Two Branching Vertices. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 1, p. 97 . http://geodesic.mathdoc.fr/item/KJM_2018_42_1_a7/