Edge deletion and symmetric division degree index of graphs

The symmetric division deg index (or simply SDD) was proposed by Vukicevic et al.as a remarkable predictor of total surface area of polychlorobiphenyls. We are interested in how the SDD of a graph changes when edges are deleted. The obtained results show that all cases are possible: increased, decreased and unchanged. In this article, we present some necessary conditions for the occurrence of each of the three different states.

Edge deletion and symmetric division degree index of graphs Keywords:

Topological index , degree based index , symmetric division degree index , edge deletion