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On certain topological indices of the line graph of subdivision graphs

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  • Nadeem, Muhammad Faisal
  • Zafar, Sohail
  • Zahid, Zohaib

Abstract

In QSAR/QSPR study, topological indices such as Shultz index, generalized Randic index, Zagreb index, general sum-connectivity index, atom-bond connectivity (ABC) index and geometric-arithmetic (GA) index are utilized to guess the bioactivity of chemical compounds. A topological index in fact relates a chemical structure with a numeric number. Graph theory has established a significant use in this area of research. In this paper we computed ABC4 and GA5 indices of the line graph of tadpole, wheel and ladder graphs using the notion of subdivision.

Suggested Citation

  • Nadeem, Muhammad Faisal & Zafar, Sohail & Zahid, Zohaib, 2015. "On certain topological indices of the line graph of subdivision graphs," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 790-794.
    • Handle: RePEc:eee:apmaco:v:271:y:2015:i:c:p:790-794
    DOI: 10.1016/j.amc.2015.09.061
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    References listed on IDEAS

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    1. Su, Guifu & Xu, Lan, 2015. "Topological indices of the line graph of subdivision graphs and their Schur-bounds," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 395-401.
    2. Tsang, Eric W. K., 2014. "Old and New," Management and Organization Review, Cambridge University Press, vol. 10(03), pages 390-390, November.
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    Cited by:

    1. Nadeem, Muhammad Faisal & Zafar, Sohail & Zahid, Zohaib, 2016. "On topological properties of the line graphs of subdivision graphs of certain nanostructures," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 125-130.
    2. Kashif Elahi & Ali Ahmad & Roslan Hasni, 2018. "Construction Algorithm for Zero Divisor Graphs of Finite Commutative Rings and Their Vertex-Based Eccentric Topological Indices," Mathematics, MDPI, vol. 6(12), pages 1-9, December.

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    Keywords

    ABC4 index; GA5 index; Line graph; Subdivision graph;
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