steiner k-eccentric connectivity index‎: a novel steiner distance-based index

‎let g be a connected graph and s be a k element subset of the vertex set v(g)‎. ‎the steiner-k distance d_{g}(s) between vertices of s is the minimum size among all connected subgraphs whose vertex set contains s‎. ‎in this paper‎, ‎we have defined the steiner k-eccentric connectivity index and derived a closed formula for the same in case of some standard graphs‎. ‎also‎, ‎we have used steiner 3-eccentric connectivity index to predict values of boiling point of some primary and secondary amines‎, ‎cross sectional area and molar refraction of alcohols‎. ‎for each‎, ‎regression model is developed and statistical analysis is conducted and these have ensured at least 97% accuracy‎.