Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 51: Issue 1
Calculating different topological indices of total graph of ℤn
Authors: M. Nikmehr 1 , L. Heidarzadeh 1 , and N. Soleimani 1
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  • 1 K. N. Toosi University of Technology Department of Mathematics P.O. Box 16315-1618 Tehran Iran
DOI:
https://doi.org/10.1556/sscmath.51.2014.1.1270
Page Count:
133–140
Publication Date:
01 Mar 2014
Online Publication Date:
18 Mar 2014
Article Category:
Research Article
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A recently published paper [6] considered the total graph of commutative ring R. In this paper, we compute Wiener, hyper-Wiener, reverse Wiener, Randić, Zagreb, ABC and GA indices of zero-divisor graph.

  • Anderson, D. F. and Badawi, A., The total graph of a commutative ring, J. Algebra, 320 (2008), 2706–2719.

    Badawi A. , 'The total graph of a commutative ring ' (2008 ) 320 J. Algebra : 2706 -2719.

  • Balaban, A. T., Mills, D., Ivanciuc, O. and Basak, S. C., Reverse Wiener indices, Croat. Chem. Acta, 73 (2000), 923–941.

    Basak S. C. , 'Reverse Wiener indices ' (2000 ) 73 Croat. Chem. Acta : 923 -941.

  • Estrada, E., Torres, L., Rodriguez, L. and Gutman, I., An atom-bond connectivity index: Modelling the enthalpy of formation of alkanes, Indian J. Chem., 37A (1998), 849–855.

  • Gutman, I. and Trinajstić, N., Graph theory and molecular orbitals, Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett., 17 (1972), 535–538.

    Trinajstić N. , 'Graph theory and molecular orbitals, Total π-electron energy of alternant hydrocarbons ' (1972 ) 17 Chem. Phys. Lett. : 535 -538.

    • Search Google Scholar

  • Klein, D. J., Lukovits, I. and Gutman, I., On the definition of the hyper-Wiener index for cycle-containing structures, J. Chem. Inf. Comput. Sci., 35 (1995), 50–52.

    Gutman I. , 'On the definition of the hyper-Wiener index for cycle-containing structures ' (1995 ) 35 J. Chem. Inf. Comput. Sci. : 50 -52.

    • Search Google Scholar

  • Maimani, H. R., Wickham, C. and Yassemi, S., Rings whose total graphs have genus at most one, Rocky Mountain J. Math., to appear.

  • Randić, M., On characterization of molecular branching, J. Am. Chem. Soc., 97 (1975), 6609–6615.

    Randić M. , 'On characterization of molecular branching ' (1975 ) 97 J. Am. Chem. Soc. : 6609 -6615.

    • Search Google Scholar

  • Vukičević, D. and Furtula, B., Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges, J. Math. Chem., 46 (2009), 1369–1376.

    Furtula B. , 'Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges ' (2009 ) 46 J. Math. Chem. : 1369 -1376.

    • Search Google Scholar

  • Wiener, H., Structural determination of the paraffin boiling points, J. Amer. Chem. Soc., 69 (1947), 17–20.

    Wiener H. , 'Structural determination of the paraffin boiling points ' (1947 ) 69 J. Amer. Chem. Soc. : 17 -20.

    • Search Google Scholar
Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896
Keywords:
Total graph of ℤn; Wiener index; hyper-Wiener index; reverse Wiener index; Randić index; Zagreb index; ABC index and GA index; Primary 05C25; 92E10

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