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] On the minimum eccentric distance sum of bipartite graphs with some given parameters

SC Li, YY Wu, LL Sun - Journal of Mathematical Analysis and Applications, 2015 - Elsevier
The eccentric distance sum is a novel graph invariant with vast potential in structure
activity/property relationships. This graph invariant displays high discriminating power with …

[HTML][HTML] Extremal graphs of given parameters with respect to the eccentricity distance sum and the eccentric connectivity index

H Zhang, S Li, B Xu - Discrete Applied Mathematics, 2019 - Elsevier
Given a connected graph G=(VG, EG), the eccentricity distance sum (EDS) of G is defined as
ξ d (G)=∑{u, v}⊆ VG (ε (u)+ ε (v)) d G (u, v) and the eccentric connectivity index (ECI) of G is …

[HTML][HTML] On eccentric distance sum and degree distance of graphs

H Hua, H Wang, X Hu - Discrete Applied Mathematics, 2018 - Elsevier
The eccentric distance sum (EDS) and degree distance (DD) are two distance-based graph
invariants which have been well-studied in recent years. The study on relationships between …

[HTML][HTML] On the extreme eccentric distance sum of graphs with some given parameters

S Li, Y Wu - Discrete Applied Mathematics, 2016 - Elsevier
The eccentric distance sum (EDS) of a connected graph G is defined as ξ d (G)=∑ v∈ VG (ε
G (u)+ ε G (v)) d G (u, v), where ε G (⋅) is the eccentricity of the corresponding vertex and d G …

[HTML][HTML] On the extremal total reciprocal edge-eccentricity of trees

S Li, L Zhao - Journal of Mathematical Analysis and Applications, 2016 - Elsevier
The total reciprocal edge-eccentricity is a novel graph invariant with vast potential in
structure activity/property relationships. This graph invariant displays high discriminating …

[HTML][HTML] On the maximal connective eccentricity index of bipartite graphs with some given parameters

H Li, S Li, H Zhang - Journal of Mathematical Analysis and Applications, 2017 - Elsevier
The connective eccentricity index is a novel graph invariant with vast potential in structure
activity/property relationships. This graph invariant displays high discriminating power with …

General eccentric distance sum of graphs

T Vetrík - Discrete Mathematics, Algorithms and Applications, 2021 - World Scientific
For a, b∈ ℝ, we define the general eccentric distance sum of a connected graph G as EDS
a, b (G)=∑ v∈ V (G)(ecc G (v)) a (DG (v)) b, where V (G) is the vertex set of G, ecc G (v) is …

[HTML][HTML] On the extremal graphs of diameter 2 with respect to the eccentric resistance-distance sum

C He, S Li, M Wang - Discrete Applied Mathematics, 2017 - Elsevier
Given a connected graph G, the eccentric resistance-distance sum of G is defined as ξ R
(G)=∑{u, v}⊆ VG (ε G (u)+ ε G (v)) R uv, where ε G (⋅) is the eccentricity of the …

[PDF][PDF] Bounds on the general eccentric distance sum of graphs

YK Feyissa, T Vetrik - Discrete Math. Lett, 2022 - dmlett.com
Some sharp bounds on the general eccentric distance sum are presented for (i) graphs with
given order and chromatic number,(ii) trees with given bipartition, and (iii) bipartite graphs …