Results 241 to 250 of about 7,008 (268)

Augmented eccentric connectivity index of single-defect nanocones

2011
We present explicit formulas for the values of augmented eccentric connectivity indices of single-defect nanocones. Our main result is that the augmented eccentricity index of an $n$-layer nanocone with a single $k$-gonal defect at its apex behaves asymptotically as $27k(1 - \ln 2) n$ for $k \geq 5$.
Doslic, Tomislav, Salehi, Mahboobeh
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Eccentric connectivity index of fullerene graphs

2012
The eccentric connectivity index of the molecular graph is defined as $zeta^c(G)=sum_{uvin E}degG(u)e(u)$ , where degG(x) denotes the degree of the vertex x in G and e(u)=max{d(x,u) |x e V(G)}. In this paper this polynomial is computed for an infinite class of fullerenes.
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ECCENTRIC CONNECTIVITY INDEX AND ECCENTRIC DISTANCE SUM OF VICSEK FRACTAL

Fractals
The Eccentric Connectivity Index (ECI) and Eccentric Distance Sum (EDS) are two important topological indices with wide applications in biology and chemistry. The Vicsek Fractal (VF) is a notable structure in both polymer physics and network science, and is also known as a regular hyperbranched polymer in the academic realm.
YUNFENG XIAO, JUNHAO PENG, LONG GAO, ZHENHUA YUAN   +3 more
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Augmented eccentric connectivity index of Fullerenes

2014
Fullerenes are carbon-cage molecules in which a number of carbon atoms are bonded in a nearly spherical configuration. The augmented eccentric connectivity index of graph G is defined as £(G)=∑u eV(G)M(u)e(u)-1, where e(u)  is defined as the length of a maximal path connecting u to another vertex of G and M(u) denotes the product of degrees of all ...
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Eccentric Connectivity Index of Some Dendrimer Graphs

2012
The eccentricity connectivity index of a molecular graph G is defined as (G) = aV(G) deg(a)e(a), where e(a) is defined as the length of a maximal path connecting a to other vertices of G and deg(a) is degree of vertex a. Here, we compute this topological index for some infinite classes of dendrimer graphs.
GHORBANI, M., MALEKJANI, KH., KHAKI, A.
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Modified eccentric connectivity index of fullerenes

2015
The eccentric connectivity index of a graph is defined as E(Γ)=∑ueV(Γ)degΓ(u)e(u), where degΓ(u) denotes the degree of the vertex u in Γ and e(u) is the eccentricity of vertex u. In this paper, the modified eccentric connectivity index of two infinite classes of fullerenes is computed.
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Reverse eccentric connectivity index

2012
Research on the topological indices based on eccentricity of vertices of a molecular graph has been intensively rising recently. Eccentric connectivity index, one of the best-known topological index in chemical graph theory, is belonging to this class of indices.
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The Edge Eccentric Connectivity Index of Dendrimers

Journal of Computational and Theoretical Nanoscience, 2013
Let G be a connected graph with vertex set V(G) and an edge set E(G). The edge eccentric connectivity index of G, denoted by xi(c)(e)(G), is defined as xi(c)(e)(G) = Sigma(f is an element of E(G))deg(f)ec(f), where deg(f) is the degree of an edge f and ec(f) is its eccentricity.
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The augmented eccentric connectivity index of nanotubes and nanotori

2012
Let G be a connected graph, the augmented eccentric connectivity index is a topological index was defined as $zeta(G)=sum_{i=1}^nM_i/E_i$, where Mi is the product of degrees of all vertices vj, adjacent to vertex vi, Ei is the largest  distance between vi and any other vertex vk of G or the eccentricity of i v and n is the number of vertices in graph G.
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Edge eccentric connectivity index of nanothorns

2016
The edge eccentric connectivity index of a graph G is defined as xi(c)(e)(G) = Sigma(f is an element of E(G))deg(G)(f)epsilon c(G)(f), where deg(G)(f) is the degree of an edge f and ec(G)(f) is its eccentricity. In this paper, we investigate the edge eccentric connectivity index of a class of nanographs, namely, nanothorns and we present an explicit ...
Berberler, ZEYNEP NİHAN, Berberler, MURAT ERŞEN   +1 more
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