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Related Experiment Video

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Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
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Published on: February 15, 2016

Shell-polynomials and cluj-tehran index in tori t(4,4)s[5,n].

Mircea V Diudea, Ali Reza Ashrafi

    Acta Chimica Slovenica
    |September 25, 2013
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces novel Shell-Distance and Shell-Degree-Distance polynomials for square tiled tori. These new descriptors enable calculation of the Cluj-Tehran CT index, offering insights into chemical graph theory applications.

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    Area of Science:

    • Chemical graph theory
    • Mathematical chemistry
    • Computational chemistry

    Background:

    • Weighted Hosoya polynomials, introduced by Diudea, offer valuable graph descriptors.
    • Diudea's Shell matrix operator provides an interesting weighting scheme for these polynomials.
    • Topological indices are crucial for predicting molecular properties and understanding chemical structures.

    Purpose of the Study:

    • To introduce Shell-Distance and Shell-Degree-Distance polynomials for square tiled tori T(4,4)S[5,n].
    • To derive closed-form formulas for calculating these novel polynomials.
    • To apply these descriptors to compute the Cluj-Tehran CT index within this specific class of graphs.

    Main Methods:

    • Development of Shell-Distance and Shell-Degree-Distance polynomials based on Diudea's Shell matrix operator.
    • Derivation of closed-form formulas for efficient computation of the polynomials.
    • Application of the derived polynomials to calculate the Cluj-Tehran CT index for T(4,4)S[5,n] graphs.

    Main Results:

    • Successful introduction and formulation of Shell-Distance and Shell-Degree-Distance polynomials.
    • Establishment of closed-form expressions for these polynomials.
    • Calculation of the Cluj-Tehran CT index for the T(4,4)S[5,n] family of square tiled tori.

    Conclusions:

    • The proposed Shell-Distance and Shell-Degree-Distance polynomials provide effective tools for graph analysis.
    • The derived formulas facilitate the computation of topological indices for square tiled tori.
    • These descriptors have potential applications in predicting chemical properties and structure-activity relationships.