In this article we state a relation between the Kirchhoff and Wiener indices of a simple connected graph G and the Kirchhoff and Wiener indices of those subgraphs of G which are induced by its blocks. Then as an application, we define a composition of a rooted tree T and a graph G and calculate its Kirchhoff index in terms of parameters of T and G. Finally, we present an algorithm for computing...

The k-th semi-total point graph R(G) of a graph G, is a graph obtained from G by adding k vertices corresponding to each edge and connecting them to the endpoints of the edge considered. In this paper, we obtain formulas for the resistance distance and Kirchhoff index of R(G).

In a recommender system where users rate items we predict the rating of items users have not rated. We define a rating graph containing users and items as vertices and ratings as weighted edges. We extend the work of [1] that uses the resistance distance on the bipartite rating graph incorporating negative edge weights into the calculation of the resistance distance. This algorithm is then comp...

glutathione s-transferases (gsts) are a major family of detoxification enzymes which possess a wide range of substrate specificities. interest in insect gsts has primarily focused on their role in insecticide resistance. in this study, following world health organization (who) routine susceptibility test, dna was extracted from specimens of anopheles stephensi collected from the kazeroon distri...