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The General ( )-Path Connectivity Indices of Polycyclic Aromatic Hydrocarbons

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  • Haiying Wang
  • Chuantao Li

Abstract

The general -path connectivity index of a molecular graph originates from many practical problems such as three-dimensional quantitative structure-activity (3D QSAR) and molecular chirality. It is defined as , where the summation is taken over all possible paths of length of and we do not distinguish between the paths and . In this paper, we focus on the structures of Polycyclic Aromatic Hydrocarbons ( ), which play a role in organic materials and medical sciences. We try to compute the exact general -path connectivity indices of this family of hydrocarbon structures. Furthermore, we exactly derive the monotonicity and the extremal values of for any real number . These valuable results could produce strong guiding significance to these applied sciences.

Suggested Citation

  • Haiying Wang & Chuantao Li, 2018. "The General ( )-Path Connectivity Indices of Polycyclic Aromatic Hydrocarbons," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-5, September.
    • Handle: RePEc:hin:jnddns:5702346
    DOI: 10.1155/2018/5702346
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