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

Sandra Terazic1,*

1Department of Mathematics, University of Rijeka, City of Rijeka, Croatia

Sandy1997te@Uniri.hr

 

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