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Distance-based topological indices of the tree-like polyphenyl systems

Author

Listed:
  • Chen, Ailian
  • Xiong, Xianzhu
  • Lin, Fenggen

Abstract

Topological indices based on the distances between vertices(atoms) of a molecular graph are widely used for characterizing molecular graphs and their fragments, establishing relationships between structures and properties of molecules, predicting biological activity of chemical compounds, and making other chemical applications. Polyphenyls are a kind of macrocyclic aromatic hydrocarbons and their derivatives are very important organic chemicals, which can be used in organic synthesis, drug synthesis, heat exchanger, etc. In this paper we investigate the relationships between the Wiener index and other distance-based topological indices in the tree-like polyphenyl systems and obtain some exactly formulae on the relationships.

Suggested Citation

  • Chen, Ailian & Xiong, Xianzhu & Lin, Fenggen, 2016. "Distance-based topological indices of the tree-like polyphenyl systems," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 233-242.
    • Handle: RePEc:eee:apmaco:v:281:y:2016:i:c:p:233-242
    DOI: 10.1016/j.amc.2016.01.057
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    References listed on IDEAS

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    1. Chen, Ailian & Xiong, Xianzhu & Lin, Fenggen, 2016. "Explicit relation between the Wiener index and the edge-Wiener index of the catacondensed hexagonal systems," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 1100-1106.
    2. Yang, Yu & Liu, Hongbo & Wang, Hua & Fu, Hongsun, 2015. "Subtrees of spiro and polyphenyl hexagonal chains," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 547-560.
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