… It is related to the extended Wiener polynomial as follows: We define a graph C, associated
with any Coxeter group. The vertices of G, are the elements of W and we connect v and w by …

… Wiener number and k W the kth Wiener number. According to the Wiener polynomial, we will
introduce a Wiener polynomial … , x), … of a graph G, where the kth Wiener polynomial of G is …

… Wiener index of a graph changes with these operations, and extend the results to Wiener
polynomials… our results on Wiener indices of these subdivision-related graphs, and proceed to …

… Wiener polynomial of various graph operations. The aim of this paper is to continue this program
by computing the hyper-Wiener index of these operations on graphs. … -Wiener index and …

… The Wiener polynomial of a graph G is W (G, x) = ∑i<j xd(vi,vj ), where d (vi,vj) is the shortest
path … of the graph. • Derivative of the Wiener polynomial is the Wiener index of the graph at …

… We present here explicit formulae for vertex-weighted Wiener polynomials of the most …
so-called thorny graphs. For a vertex w ∈ V (G) we define the partial Wiener polynomial of G with …

… and their Wiener numbers and polynomials are of significant interest. In Section 3, we will
deal with Wiener polynomials for some … These graphs (“hex carpets”) depict slices of graphite. …

… In this section, we compute the Wiener index and Hosoya polynomial for Jahangir graphs. …
1 ,3 m Jd k ≤≤ Thus we redefine the Hosoya polynomial and Wiener index as follows: …

… The mathematicians have studied several operators on a connected graph in … Wiener
Index of a graph changes with these operations, and extend the results to Wiener Polynomials…

… Recently, [9] generalized the Hosoya-Wiener polynomial to vertex weighted graphs in two
ways which slightly differ from the one given here. Remark. Similarly, one could define, in spirit …