Topological indices are well known for their importance in determining the characteristics of
chemical compounds. On the other side, benzenoid hydrocarbons are essential to the food …

The Wiener index of a connected graph is defined as the sum of distances between all
unordered pairs of its vertices. In this paper, we survey the known extremal results about the …

The partial Hosoya polynomial (or briefly the partial H-polynomial) can be used to construct
the well-known Hosoya polynomial. The ith coefficient of this polynomial, defined for an …

This article aims to be a further contribution to the research on structural complexity
networks. Here, we emphasize measures to determine symmetry. The so-called “orbit …

The definition of orbit polynomial is based on the size of orbits of a graph which is OG (x)=∑
ix| O i|, where O 1,…, O k are all orbits of graph G. It is a well-known fact that according to …

The Wiener polynomial of a connected graph G is the polynomial W (G; x)=∑ i= 1 D (G) di
(G) xi where D (G) is the diameter of G, and di (G) is the number of pairs of vertices of G at …