On topological properties of the line graphs of subdivision graphs of certain nanostructures

Muhammad Faisal Nadeem, Sohail Zafar and Zohaib Zahid

Applied Mathematics and Computation, 2016, vol. 273, issue C, 125-130

Abstract: In the study of QSAR/QSPR, 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 exploited to estimate the bioactivity of chemical compounds. A topological index attaches a chemical structure with a numeric number. There are numerous applications of graph theory in this field of research. In this paper we computed generalized Randic, general Zagreb, general sum-connectivity, ABC, GA, ABC4 and GA5 indices of the line graphs of 2D-lattice, nanotube and nanotorus of TUC4C8[p, q] by using the concept of subdivision.

Keywords: Topological indices; Line graph; Subdivision graph; Nanostructures (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:125-130

DOI: 10.1016/j.amc.2015.10.010

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