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On Connected Graphs Having the Maximum Connective Eccentricity Index
Journal of Applied Mathematics and Computing, 2021The connective eccentricity index (CEI) of a connected graph G is defined as $$\xi ^{ee}(G)=\sum _{u\in V_G}[d_G(u)/\varepsilon _G(u)]$$ , where $$d_G(u)$$ and
Shahid Zaman, Akbar Ali
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On Eccentric Connectivity Index and Connectivity
Acta Mathematica Sinica, English Series, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mukungunugwa, Vivian, Mukwembi, Simon
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Inverse connective eccentricity index and its applications
2021Summary: The inverse connective eccentricity index of a connected graph \(G\) is defined as \(\xi^{-1}_{ce}(G) = \sum\limits_{u\in V(G)}\frac{\epsilon_G(u)}{d_G(u)}\), where \(\epsilon_G(u)\) and \(d_G(u)\) are the eccentricity and degree of a vertex \(u\) in \(G\), respectively.
Pattabiraman, K, Suganya, T
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Eccentric connectivity index: extremal graphs and values
Iranian journal of mathemathical chemistry, 2010Eccentric connectivity index has been found to have a low degeneracy and hence a significant potential of predicting biological activity of certain classes of chemical compounds. We present here explicit formulas for eccentric connectivity index of various families of graphs. We also show that the eccentric connectivity index grows at most polynomially
DOŠLIĆ, T. +2 more
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On the maximum connective eccentricity index among k-connected graphs
Discrete Mathematics, Algorithms and Applications, 2020The connective eccentricity index (CEI for short) of a graph [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is the degree of [Formula: see text] and [Formula: see text] is the eccentricity of [Formula: see text] in [Formula: see text].
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Connective eccentric index of fullerenes
2011Fullerenes are carbon-cage molecules in which a number of carbon atoms are bonded in a nearly spherical configuration. The connective eccentric index of graph G is defined as C (G)= Σa V(G)deg(a)e(a) -1, where e(a) is defined as the length of a maximal path connecting a to another vertex of G.
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Eccentric connectivity index of composite graphs
Utilitas mathematica, 2014We present explicit formulas for the values of eccentric connectivity index for several families of composite graphs. The results are applied to some graphs of chemical interest, such as $C_4$ nanotubes and nanotori.
Došlić, Tomislav, Saheli, Mahboubeh
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The Modified Eccentric Connectivity Index of Nanocomposites
Journal of Computational and Theoretical Nanoscience, 2015The modified eccentric connectivity index of a graph G is defined as xi(c)(G) = Sigma(v is an element of V(G)) delta(v)epsilon(G)(v), where epsilon(G)(V) is the eccentricity of vertex v and delta(v) is the sum of the degrees of its neighborhoods. In this paper, we investigate the modified eccentric connectivity index of a class of composite graphs ...
BERBERLER, MURAT ERŞEN +1 more
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Eccentric connectivity index in complementary prisms
Discrete Mathematics, Algorithms and ApplicationsThe topological index is just one of several very useful tools that graph theory has made available to chemists. Topological indices are invariants of real numbers under graph isomorphisms. Several topological indices have been defined. Some of them are used to model chemical, pharmaceutical and other properties of molecules.
Aysun Aytaç, Belgin Coşkun
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Augmented Eccentric Connectivity Index of Grid Graphs
2016We present explicit formulas for augmented eccentric connectivity indices of several classes of grid graphs that arise via Cartesian product. We also explore their asymptotic behavior and compute the compression ratios for considered graphs.
Tomislav Došlić, Mojgan Mogharrab
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