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Eccentric connectivity index [PDF]
, 2010 The eccentric connectivity index $\xi^c$ is a novel distance--based molecular structure descriptor that was recently used for mathematical modeling of biological activities of diverse nature. It is defined as $\xi^c (G) = \sum_{v \in V (G)} deg (v) \cdot
Ilić, Aleksandar
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On Eccentric Connectivity Index of Eccentric Graph of Regular Dendrimer [PDF]
Mathematics in Computer Science, 2016 The eccentric connectivity index \(\xi ^c(G)\) of a connected graph G is defined as \(\xi ^c(G) =\sum _{v \in V(G)}{deg(v) e(v)},\) where deg( v) is the degree of vertex v and e( v) is the eccentricity of v. The eccentric graph, \(G_e\), of a graph G has
Nagar, Atulya, Sastha, Sriram
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Network Similarity Measure and Ediz Eccentric Connectivity Index [PDF]
Complexity, 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
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On Eccentric Connectivity Index of TiO2 Nanotubes
Acta 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
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On eccentric connectivity index [PDF]
, 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.
Du, Zhibin, Zhou, Bo
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Eccentric connectivity index of some chemical trees [PDF]
International Journal of Pure and Apllied Mathematics, 2016 Let G = (V, E) be a simple connected molecular graph. In such a simple molecular graph, vertices represent atoms and edges represent chemical bonds, we denoted the sets of vertices and edges by V(G) and E(G), respectively.
Haoer, R. S. +4 more
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Leap Eccentric Connectivity Index of Subdivision Graphs
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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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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The Connective Eccentricity Index of Hypergraphs
Mathematics, 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
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Augmented eccentric connectivity index [PDF]
Miskolc Mathematical Notes, 2011 We review basic mathematical properties of the augmented eccentric connectivity index. Explicit formulas are presented for several classes of graphs, in particular for some open and closed unbranched polymers and nanostructures. Asymptotic behavior is explored and compression ratios are computed for those polymers.
Doslic, Tomislav, Saheli, Mahboubeh
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