ASPG Menu
search

American Scientific Publishing Group

verified Journal

Galoitica: Journal of Mathematical Structures and Applications

ISSN
Online: 2834-5568
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

Galoitica: Journal of Mathematical Structures and Applications
Full Length Article

Volume 11Issue 2PP: 15-21 • 2024

A Study on the Wiener Polynomials for the Paraffin Polynomial-Rings

Sandra Terazic 1*
1Department of Mathematics, University of Rijeka, City of Rijeka, Croatia
* Corresponding Author.
Received: December 04, 2023 Revised: March 29, 2024 Accepted: July 25, 2024

Abstract

In this paper, we find the Wiener polynomial of multi-circles of Paraffin structural. We prove that this obtained formula is better than the formulas, which are previously presented. Also, we evaluate the coefficients for any limited power of  without depending on the number of circles, and we find the Wiener index and average distance for this structural. On the other hand, we build a MATLAB program to evaluate the Wiener polynomial coefficient, Wiener index, and average distance.

Keywords

Weiner index Wiener polynomial Polynomial ring Paraffin structural

References

[1]       J.I. Doyle and J.E. Graver (1977) “Mean distance in a graph“, Discrete Math., Vol. 17, PP.147-154.

[2]       A.A. Dobrynin (1993) “On decomposition of the Wiener index for Graphs of Catacondensed Hexagonal Systems”, Graph Theory Notes of New York; XXV. PP.19-21.

[3]       Gutman (1993) “Some properties of the Wiener polynomial”, Graph Theory Notes of New York; XXV. PP.13-18.

[4]       H. Hosoya (1988) “On some counting polynomials in chemistry”, Discrete Applied Math. 19, PP.239-257.

[5]       Walid A.M. Saeed (1999) Wiener Polynomials of Graphs, Ph.D. Thesis, Mousl University.

[6]       H. Wiener (1947) “Structural determination of paraffin boiling points”, J. Amer. Chem. Soc., 69, PP.17-20.

[7]       Ahmadi, M. R, Nezhad, R. J. (2011). Energy and Wiener index of zero-divisor graphs. Iran. J. Math. Chem. 2(1): 45–51.

[8]       Afkhami, M., Barati, Z, Khashyarmanesh, K. (2014). When the unit, unitary and total graphs are ring graphs and outer planar. Rocky Mountain J. Math. 44(3): 705–716.

[9]       Koam, A. N. A., Ahmad, A, Haider, A. (2019). On eccentric topological indices based on edges of zero-divisor graphs. Symmetry 11(7): 907.

Cite This Article

Choose your preferred format

format_quote
Terazic, Sandra. "A Study on the Wiener Polynomials for the Paraffin Polynomial-Rings." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 11, no. Issue 2, 2024, pp. 15-21. DOI: https://doi.org/10.54216/GJMSA.0110202
Terazic, S. (2024). A Study on the Wiener Polynomials for the Paraffin Polynomial-Rings. Galoitica: Journal of Mathematical Structures and Applications, Volume 11(Issue 2), 15-21. DOI: https://doi.org/10.54216/GJMSA.0110202
Terazic, Sandra. "A Study on the Wiener Polynomials for the Paraffin Polynomial-Rings." Galoitica: Journal of Mathematical Structures and Applications Volume 11, no. Issue 2 (2024): 15-21. DOI: https://doi.org/10.54216/GJMSA.0110202
Terazic, S. (2024) 'A Study on the Wiener Polynomials for the Paraffin Polynomial-Rings', Galoitica: Journal of Mathematical Structures and Applications, Volume 11(Issue 2), pp. 15-21. DOI: https://doi.org/10.54216/GJMSA.0110202
Terazic S. A Study on the Wiener Polynomials for the Paraffin Polynomial-Rings. Galoitica: Journal of Mathematical Structures and Applications. 2024;Volume 11(Issue 2):15-21. DOI: https://doi.org/10.54216/GJMSA.0110202
S. Terazic, "A Study on the Wiener Polynomials for the Paraffin Polynomial-Rings," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 11, no. Issue 2, pp. 15-21, 2024. DOI: https://doi.org/10.54216/GJMSA.0110202
Digital Archive Ready