Status connectivity indices of graphs and its applications to the boiling point of benzenoid hydrocarbons

HS Ramane, AS Yalnaik - Journal of Applied Mathematics and Computing, 2017 - Springer
The status σ (u) σ (u) of a vertex u is defined as the sum of the distances between u and all
other vertices of a graph G. In this paper we have defined the first and second status …

The eccentric connectivity polynomial of two classes of nanotubes

W Gao, W Wang - Chaos, Solitons & Fractals, 2016 - Elsevier
In theoretical chemistry, the eccentric connectivity index ξ (G) of a molecular graph G was
introduced as ξ (G)=∑ v∈ V (G) d (v) ɛ (v) where d (v) expresses the degree of vertex v and …

On the eccentric distance sum of graphs

A Ilić, G Yu, L Feng - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
The eccentric distance sum is a novel topological index that offers a vast potential for
structure activity/property relationships. For a graph G, it is defined as ξd (G)=∑ v∈ Vε (v) D …

[PDF][PDF] The eccentric connectivity index of polycyclic aromatic hydrocarbons (PAHs)

M Alaeiyan, C Natarajan, G Sathiamoorthy… - Eurasian chemical …, 2020 - academia.edu
Let G=(V, E) be a simple connected graph with vertex set V (G) and edge set E (G). A
molecular graph is a simple connected graph such that its vertices correspond to the atoms …

On the eccentric distance sum of trees and unicyclic graphs

G Yu, L Feng, A Ilić - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
Let G be a simple connected graph with the vertex set V (G). The eccentric distance sum of G
is defined as ξd (G)=∑ v∈ V (G) ε (v) DG (v), where ε (v) is the eccentricity of the vertex v …

The connective eccentricity index of graphs and its applications to octane isomers and benzenoid hydrocarbons

G Wang, L Yan, S Zaman… - International Journal of …, 2020 - Wiley Online Library
The connective eccentricity index (CEI) of a graph G is defined as, where ε G (.) denotes the
eccentricity of the corresponding vertex. The CEI obligates an influential ability, which is due …

[HTML][HTML] Extremal values on the eccentric distance sum of trees

X Geng, S Li, M Zhang - Discrete Applied Mathematics, 2013 - Elsevier
Abstract Let G=(VG, EG) be a simple connected graph. The eccentric distance sum of G is
defined as ξ d (G)=∑ v∈ VG ε G (v) DG (v), where ε G (v) is the eccentricity of the vertex v …

[HTML][HTML] On the extremal properties of the average eccentricity

A Ilić - Computers & Mathematics with Applications, 2012 - Elsevier
The eccentricity of a vertex is the maximum distance from it to another vertex and the
average eccentricity ecc (G) of a graph G is the mean value of eccentricities of all vertices of …

A mathematical investigation for appraisal of crystal structure lattices through eccentricity-based topological invariants, QSPR analysis, and MCDA

Z Hui, S Kanwal, A Aslam, S Saeed… - The European Physical …, 2022 - Springer
Chemical graph theory has become the eye of chemists to manipulate each compound for
its multipartite physiochemical properties when investigated through topological invariants …

[HTML][HTML] General eccentric connectivity index of trees and unicyclic graphs

T Vetrík, M Masre - Discrete Applied Mathematics, 2020 - Elsevier
We introduce the general eccentric connectivity index of a graph G, ECI α (G)=∑ v∈ V (G)
ecc G (v) d G α (v) for α∈ R, where V (G) is the vertex set of G, ecc G (v) is the eccentricity of …