Results 11 to 20 of about 1,059 (263)
Distance eccentric connectivity index of graphs
, 2021 Summary: Let \(G = ( V, E )\) be a connected graph. The eccentric connectivity index of \(G\) is defined by \(\xi^C ( G ) = \sum_{u \in V (G)} \deg(u) e (u)\), where \(\deg(u)\) and \(e ( u )\) denote the degree and eccentricity of the vertex \(u\) in \(G\), respectively.
Cangül, İsmail Naci +4 more
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On eccentric connectivity index
, 2010 The eccentric connectivity index, proposed by Sharma, Goswami and Madan, has been employed successfully for the development of numerous mathematical models for the prediction of biological activities of diverse nature. We now report mathematical properties of the eccentric connectivity index.
Zhou, Bo, Du, Zhibin
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The eccentric connectivity index of nanotubes and nanotori
Journal of Computational and Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. R. Ashrafi +2 more
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Leap Eccentric Connectivity Index of Subdivision Graphs [PDF]
Journal of Mathematics, 2022 The second degree of a vertex in a simple graph is defined as the number of its second neighbors. The leap eccentric connectivity index of a graph M, LξcM, is the sum of the product of the second degree and the eccentricity of every vertex in M.
Ali Ghalavand +2 more
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On the eccentric connectivity index of unicyclic graphs
, 2018 Summary: In this paper, we obtain the upper and lower bounds on the eccentricity connectivity index of unicyclic graphs with perfect matchings. Also, we give some lower bounds on the eccentric connectivity index of unicyclic graphs with given matching numbers.
Nacaroglu, Yasar, Maden, Ayse Dilek
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Eccentric Connectivity Index of t-Polyacenic Nanotubes
Advances in Materials Science and Engineering, 2019 The eccentric connectivity index ECI is a chemical structure descriptor that is currently being used for the modeling of biological activities of a chemical compound.
Jia-Bao Liu +3 more
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Eccentric connectivity index and eccentric distance sum of some graph operations [PDF]
Transactions on Combinatorics, 2013 Let $G=(V,E)$ be a connected graph. The eccentric connectivity index of $G$, $xi^{c}(G)$, is defined as $xi^{c}(G)=sum_{vin V(G)}deg(v)ec(v)$, where $deg(v)$ is the degree of a vertex $v$ and $ec(v)$ is its eccentricity. The eccentric distance sum of $G$
Buzohragul Eskender, Elkin Vumar
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Computing edge version of eccentric connectivity index of nanostar dendrimers [PDF]
Kragujevac Journal of Science, 2018 Let G be a molecular graph, the edge version of eccentric connectivity index of G are defined as ( ) ( ) å ∈ ( ) = ⋅ GEf c e ξ (G) deg f ecc f , where deg( f ) denotes the degree of an edge f and ecc( f ) is the largest distance between f and any other ...
Mehdipour Sara +2 more
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On the Adjacent Eccentric Distance Sum Index of Graphs. [PDF]
PLoS ONE, 2015 For a given graph G, ε(v) and deg(v) denote the eccentricity and the degree of the vertex v in G, respectively. The adjacent eccentric distance sum index of a graph G is defined as [Formula in text], where [Formula in text] is the sum of all distances ...
Hui Qu, Shujuan Cao
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Computing the Ediz eccentric connectivity index of discrete dynamic structures
Open Physics, 2017 From the earlier studies in physical and chemical sciences, it is found that the physico-chemical characteristics of chemical compounds are internally connected with their molecular structures. As a theoretical basis, it provides a new way of thinking by
Wu Hualong +4 more
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