Research Article
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Year 2020, , 531 - 535, 01.06.2020
https://doi.org/10.16984/saufenbilder.549532

Abstract

References

  • [1] M.R., Ahmadi and R., Jahani-Nezhad, “Energy and Wiener index of zero divisor graphs”, Iranian Journal of Mathematical Chemistry, vol. 2, pp. 45-51, 2011.
  • [2] D.F., Anderson and P.S., Livingston, “The zero-divisor graph of a commutative ring”, Journal of Algebra, vol. 217, pp. 434-447, 1999.
  • [3] I., Beck, “Coloring of commutative rings”, Journal of Algebra, vol. 116, no.1,pp. 208-226, 1988.
  • [4] A.A., Dobrynin and A.A., Kochetova, “Degree Distance of a Graph: A Degree analogue of the Wiener Index”, Journal of Chemical Information and Computer Sciences, vol. 34, pp. 1082-1086, 1994.
  • [5] I., Gutman, “Selected properties of the Schultz molecular topological index”, Journal of Chemical Information and Computer Sciences, vol. 34, pp. 1087-1089, 1994.
  • [6] W., Imrich and S., Klavzar, “Product Graphs: Structure and Recognition”, John Wiley&Sons, New York, USA, 2000.
  • [7] M.H., Khalifeh, H., Yousefi-Azari and A.R., Ashrafi, “The Hyper-Wiener index of graph operations”, Comput. Math. Appl., vol. 56, pp. 1402-1407, 2008.
  • [8] H.Q., Mohammad and M.N., Authman, “Hosoya polynomial and Wiener index of zero-divisor graph of Z_n”, Raf. J. Comp.&Math's., vol. 12, no. 1, pp. 47-59, 2018.
  • [9] B.S., Reddy, R.S., Jain, N., Laxmikanth, “Eigenvalues and Wiener index of the zero divisor graph Г[Z_n ]”, https://arxiv.org/pdf/1707.05083, 2017.
  • [10] H., Wiener, “Structural determination of paraffin boiling points”, Journal of the American Chemical Society, vol. 69, pp. 17-20, 1947.

Degree Distance of Zero-Divisor Graph Г[Z_n ]

Year 2020, , 531 - 535, 01.06.2020
https://doi.org/10.16984/saufenbilder.549532

Abstract

In this article, degree distance of zero-divisor graph Г[Z_n ] is computed for n=p^2,n=pq and n=p^3, where p,q are distinct prime numbers.

References

  • [1] M.R., Ahmadi and R., Jahani-Nezhad, “Energy and Wiener index of zero divisor graphs”, Iranian Journal of Mathematical Chemistry, vol. 2, pp. 45-51, 2011.
  • [2] D.F., Anderson and P.S., Livingston, “The zero-divisor graph of a commutative ring”, Journal of Algebra, vol. 217, pp. 434-447, 1999.
  • [3] I., Beck, “Coloring of commutative rings”, Journal of Algebra, vol. 116, no.1,pp. 208-226, 1988.
  • [4] A.A., Dobrynin and A.A., Kochetova, “Degree Distance of a Graph: A Degree analogue of the Wiener Index”, Journal of Chemical Information and Computer Sciences, vol. 34, pp. 1082-1086, 1994.
  • [5] I., Gutman, “Selected properties of the Schultz molecular topological index”, Journal of Chemical Information and Computer Sciences, vol. 34, pp. 1087-1089, 1994.
  • [6] W., Imrich and S., Klavzar, “Product Graphs: Structure and Recognition”, John Wiley&Sons, New York, USA, 2000.
  • [7] M.H., Khalifeh, H., Yousefi-Azari and A.R., Ashrafi, “The Hyper-Wiener index of graph operations”, Comput. Math. Appl., vol. 56, pp. 1402-1407, 2008.
  • [8] H.Q., Mohammad and M.N., Authman, “Hosoya polynomial and Wiener index of zero-divisor graph of Z_n”, Raf. J. Comp.&Math's., vol. 12, no. 1, pp. 47-59, 2018.
  • [9] B.S., Reddy, R.S., Jain, N., Laxmikanth, “Eigenvalues and Wiener index of the zero divisor graph Г[Z_n ]”, https://arxiv.org/pdf/1707.05083, 2017.
  • [10] H., Wiener, “Structural determination of paraffin boiling points”, Journal of the American Chemical Society, vol. 69, pp. 17-20, 1947.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

N.feyza Yalçın 0000-0001-5705-8658

Publication Date June 1, 2020
Submission Date April 4, 2019
Acceptance Date March 30, 2020
Published in Issue Year 2020

Cite

APA Yalçın, N. (2020). Degree Distance of Zero-Divisor Graph Г[Z_n ]. Sakarya University Journal of Science, 24(3), 531-535. https://doi.org/10.16984/saufenbilder.549532
AMA Yalçın N. Degree Distance of Zero-Divisor Graph Г[Z_n ]. SAUJS. June 2020;24(3):531-535. doi:10.16984/saufenbilder.549532
Chicago Yalçın, N.feyza. “Degree Distance of Zero-Divisor Graph Г[Z_n ]”. Sakarya University Journal of Science 24, no. 3 (June 2020): 531-35. https://doi.org/10.16984/saufenbilder.549532.
EndNote Yalçın N (June 1, 2020) Degree Distance of Zero-Divisor Graph Г[Z_n ]. Sakarya University Journal of Science 24 3 531–535.
IEEE N. Yalçın, “Degree Distance of Zero-Divisor Graph Г[Z_n ]”, SAUJS, vol. 24, no. 3, pp. 531–535, 2020, doi: 10.16984/saufenbilder.549532.
ISNAD Yalçın, N.feyza. “Degree Distance of Zero-Divisor Graph Г[Z_n ]”. Sakarya University Journal of Science 24/3 (June 2020), 531-535. https://doi.org/10.16984/saufenbilder.549532.
JAMA Yalçın N. Degree Distance of Zero-Divisor Graph Г[Z_n ]. SAUJS. 2020;24:531–535.
MLA Yalçın, N.feyza. “Degree Distance of Zero-Divisor Graph Г[Z_n ]”. Sakarya University Journal of Science, vol. 24, no. 3, 2020, pp. 531-5, doi:10.16984/saufenbilder.549532.
Vancouver Yalçın N. Degree Distance of Zero-Divisor Graph Г[Z_n ]. SAUJS. 2020;24(3):531-5.

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