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• W2108693567 abstract "Graph theory was successfully applied in developing a relationship between chemical structure and biological activity. The m-connectivity index of a graph G is defined to be <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sup> χ(G) = Σ <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>v1V2⋯Vm+1</sub> (d <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>v</sub> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>1</sub> d <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>V</sub> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sub> ⋯d <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>V</sub> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m+1</sub> )-1/2 where v. v. ⋯v <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sub> . . runs over all paths of length m in G and d <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>i</sub> is the degree of vertex v <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>i</sub> . Cyclodextrins are a family of compounds widely used in food, pharmaceutical, and chemical industries. In this paper we give explicit formulas for computing the first-, second-, and third-order connectivity indices of the molecular graphs of two classes of cyclodextrins, namely α-cyclodextrin and β-cyclodextrin. These formulas are helpful in the study of the relationship between the structure and activity of these cyclodextrins." @default.
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• W2108693567 date "2010-12-01" @default.
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• W2108693567 title "Computing the connectivity indices of &#x03B1;- and &#x03B2;-cyclodextrins" @default.
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• W2108693567 doi "https://doi.org/10.1109/bibmw.2010.5703782" @default.
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