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The Wiener and Szeged indices of hexagonal cored dendrimers | ||
| Journal of Discrete Mathematics and Its Applications | ||
| مقاله 4، دوره 7، شماره 2، خرداد 2022، صفحه 99-103 اصل مقاله (249.41 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2022.741 | ||
| نویسنده | ||
| Abbas Heydari | ||
| Arak University | ||
| تاریخ دریافت: 25 فروردین 1401، تاریخ بازنگری: 08 اردیبهشت 1401، تاریخ پذیرش: 24 اردیبهشت 1401 | ||
| چکیده | ||
| A topological index of a molecule graph G is a real number which is invariant under graph isomorphism. The Wiener and Szeged indices are two important distance based topological indices applicable in nanoscience. In this paper, these topological indices is computed for hexagonal cored dendrimers. | ||
| کلیدواژه‌ها | ||
| Wiener index؛ Szeged index؛ Dendrimers؛ nanoparticles | ||
| مراجع | ||
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[1] H. Hosoya, Topological index. A newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons. Bull. Chem. Soc. Japan, 44 (1971) 2332-2339.
[2] H. Wiener, determination of paraffin boiling points, J. Am. Chem. Soc., 69 (1947) 17-20.
[3] I. Gutman, A formula for the Wiener number of trees and its extension to graphs containing cycles, Graph Theory Notes, 27 (1994) 9-15.
[4] F. Vogtle (Ed.), Topics in Current Chemistry, Dendrimers II: Architecture, Nanostructure and Supramolecular Chemistry, No. 210, Springer-Verlag, Berlin (2000).
[5] M. V. Diudea (Ed.), Nanostructures: Novel Architecture, Nova, New York, 2006.
[6] A. Heydari, I. Gutman, On the terminal Wiener index of thorn graphs, Kragujevac J. Sci., 32 (2010) 57-64.
[7] H. Yousefi-Azari, A.R. Ashrafi and M.H. Khalifeh, Computing vertex-PI index of single and multi-walled nanotubes, Digest Journal of Nanomaterials and Biostructures, 3(4) (2008) 315-318.
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