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ABSTRACT:
Let G be a connected graph on n vertices. For an edge e = uv, n G,1 denotes the number of vertices closer to the vertex u than vertex v and nG,2 denotes the number of vertices closer to the vertex v than vertex u. Recently Vukičević and Žerovnik put forward a class of modified Wiener indices - the λ-variable Wiener indices, defined as λW(G) = 1/2 ΣeεE(G) (n λ - nG,1(e)λ - n G,2(e)λ). For a type of thorn trees T*, an explicit formula is given to calculate kW(T*) in terms of the ivariable Wiener indices of the parent tree T for any non-negative integer k with
0 ≤ i ≤ k.
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STATISTICS
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