In this paper the idea of strong sum distance which is a metric, in a fuzzy graph is introduced. Based on this metric the concepts of eccentricity, radius, diameter, center and self centered fuzzy graphs are studied. Some properties of eccentric nodes, peripheral nodes and central nodes are obtained. A characterisation of self centered complete fuzzy graph is obtained and conditions under which...

The correlations between the physico-chemical properties of a chemical structure and its molecular structure-properties are used in quantitative structure-activity property relationship studies (QSAR/QSPR) by using graph-theoretical analysis techniques. It is well known that some structure-property studies, eccentric distance sum, better than corresponding values obtained Wiener index. In this ...

Given a network G(V,A,c), the eccentric node of a node v ∈ V is the furthest node from v with respect to the edge length vector c. The inverse eccentric problem consists of modifying the edge length vector c minimally so that a specific node t becomes the eccentric node of another specific node s. The length modifications can be measured by different distances. In this paper, the problem under ...