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Topological Indices of m th Chain Silicate Graphs

Author

Listed:
  • Jia-Bao Liu

    (School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China)

  • Muhammad Kashif Shafiq

    (Department of Mathematics, Government College University Faisalabad (GCUF), Faisalabad 38023, Pakistan)

  • Haidar Ali

    (Department of Mathematics, Government College University Faisalabad (GCUF), Faisalabad 38023, Pakistan)

  • Asim Naseem

    (Department of Mathematics, GC University Lahore, Lahore 54000, Pakistan)

  • Nayab Maryam

    (Department of Mathematics, Government College University Faisalabad (GCUF), Faisalabad 38023, Pakistan)

  • Syed Sheraz Asghar

    (Department of Mathematics, Government College University Faisalabad (GCUF), Faisalabad 38023, Pakistan)

Abstract

A topological index is a numerical representation of a chemical structure, while a topological descriptor correlates certain physico-chemical characteristics of underlying chemical compounds besides its numerical representation. A large number of properties like physico-chemical properties, thermodynamic properties, chemical activity, and biological activity are determined by the chemical applications of graph theory. The biological activity of chemical compounds can be constructed by the help of topological indices such as atom-bond connectivity (ABC), Randić, and geometric arithmetic (GA). In this paper, Randić, atom bond connectivity (ABC), Zagreb, geometric arithmetic (GA), ABC 4 , and GA 5 indices of the m th chain silicate S L ( m , n ) network are determined.

Suggested Citation

  • Jia-Bao Liu & Muhammad Kashif Shafiq & Haidar Ali & Asim Naseem & Nayab Maryam & Syed Sheraz Asghar, 2019. "Topological Indices of m th Chain Silicate Graphs," Mathematics, MDPI, vol. 7(1), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:42-:d:194881
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    References listed on IDEAS

    as
    1. Liu, Jia-Bao & Pan, Xiang-Feng, 2016. "Minimizing Kirchhoff index among graphs with a given vertex bipartiteness," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 84-88.
    2. Bača, Martin & Horváthová, Jarmila & Mokrišová, Martina & Suhányiová, Alžbeta, 2015. "On topological indices of fullerenes," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 154-161.
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