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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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
(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
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 …
given order and chromatic number,(ii) trees with given bipartition, and (iii) bipartite graphs …