Results 1 to 10 of about 819 (143)

On Eccentric Connectivity Index of TiO2 Nanotubes

open access: yesActa Chimica Slovenica, 2016
The eccentric connectivity index (ECI) is a distance based molecular structure descriptor that was recently used for mathematical modeling of biological activities of diverse nature.
Imran Nadeem, Hani Shaker
doaj   +5 more sources

Network Similarity Measure and Ediz Eccentric Connectivity Index [PDF]

open access: yesComplexity, 2020
Network similarity measures have proven essential in the field of network analysis. Also, topological indices have been used to quantify the topology of networks and have been well studied.
Guihai Yu, Xinzhuang Chen
doaj   +2 more sources

Bounds on the General Eccentric Connectivity Index

open access: yesSymmetry, 2022
The general eccentric connectivity index of a graph R is defined as ξec(R)=∑u∈V(G)d(u)ec(u)α, where α is any real number, ec(u) and d(u) represent the eccentricity and the degree of the vertex u in R, respectively. In this paper, some bounds on the general eccentric connectivity index are proposed in terms of graph-theoretic parameters, namely, order ...
Xinhong Yu   +2 more
exaly   +2 more sources

On the eccentric connectivity index of a graph

open access: yesDiscrete Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Mukwembi
exaly   +3 more sources

The Connective Eccentricity Index of Hypergraphs

open access: yesMathematics, 2022
The connective eccentricity index (CEI) of a hypergraph G is defined as ξce(G)=∑v∈V(G)dG(v)εG(v), where εG(v) and dG(v) denote the eccentricity and the degree of the vertex v, respectively.
Guihai Yu, Renjie Wu, Xingfu Li
doaj   +2 more sources

Comparison between the Szeged index and the eccentric connectivity index

open access: yesDiscrete Applied Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kinkar Ch Das, M J Nadjafi-Arani
exaly   +2 more sources

Maximum eccentric connectivity index for graphs with given diameter [PDF]

open access: yesDiscrete Applied Mathematics, 2019
The eccentricity of a vertex $v$ in a graph $G$ is the maximum distance between $v$ and any other vertex of $G$. The diameter of a graph $G$ is the maximum eccentricity of a vertex in $G$. The eccentric connectivity index of a connected graph is the sum over all vertices of the product between eccentricity and degree.
Alain Hertz   +2 more
exaly   +4 more sources

Eccentric connectivity index of graphs with subdivided edges

open access: yesElectronic Notes in Discrete Mathematics, 2014
We consider four classes of graphs arising from a given graph via different types of edge subdivisions. We present explicit formulas expressing their eccentric connectivity index in terms of the eccentric connectivity index of the original graph and some auxiliary invariants.
Sirous Moradi, Tomislav Doslic
exaly   +3 more sources

A lower bound on the eccentric connectivity index of a graph

open access: yesDiscrete Applied Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Mukwembi
exaly   +3 more sources

Minimum eccentric connectivity index for graphs with fixed order and fixed number of pendant vertices [PDF]

open access: yesYugoslav Journal of Operations Research, 2019
The eccentric connectivity index of a connected graph G is the sum over all vertices v of the product dG(v)eG(v), where dG(v) is the degree of v in G and eG(v) is the maximum distance between v and any other vertex of G.
Devillez Gauvain   +3 more
doaj   +1 more source

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