Application of Graph Theory: Relationship of Eccentric Connectivity Index and Wiener's Index with Anti-inflammatory Activity

Connective Eccentric Index of Circumcoronene Homologous Series of Benzenoid H_k

“…Three first members of this Benzenoid family (H 1 = benzene, H 2 = coronene and H 3 = circumcoronene) are shown in Figure 1. Circumcoronene Homologous Series of Benzenoid is generated from famous molecule Benzene or cycle C 6 . We encourage reader to references to study some properties of this Benzenoid family.…”

“…In 2000, the Connective Eccentric index C ξ (G) was defined by Gupta, Singh and Madan [5,6] as follows: …”

On Eccentric Connectivity Index of TiO2 Nanotubes

“…The eccentricity of these vertices in i th row is given by (13) The eccentricity of the vertices x ij , y ij in the remaining 2 rows is 4p. Hence In this case the eccentricity of the vertices u ij , v ij is same as the eccentricity of vertices u (2n+3-i)j , v (2n+3-i)j .…”

“…[9][10][11] The prediction accuracy rate of ECI is better than the Wiener index with regard to diuretic activity 12 and anti-inflammatory activity. 13 Compare to Zagreb indices, the ECI has been shown to give a high degree of predictability in case of anticonvulsant activity.…”

On the adjacent eccentric distance sum of graphs

“…Some mathematical properties of other molecular topological indices and their application for predicting biological and physical properties have been investigated in [2] - [8]. In this paper we give additional properties of the adjacent eccentric distance sum index for simple connected graphs.…”