a note on atom bond connectivity index
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abstract
the atom bond connectivity index of a graph is a new topological index was defined by e.estrada as abc(g) uve (dg(u) dg(v) 2) / dg(u)dg(v) , where g d ( u ) denotes degreeof vertex u. in this paper we present some bounds of this new topological index.
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A Note on Atom Bond Connectivity Index
The atom bond connectivity index of a graph is a new topological index was defined by E. Estrada as ABC(G) uvE (dG(u) dG(v) 2) / dG(u)dG(v) , where G d ( u ) denotes degree of vertex u. In this paper we present some bounds of this new topological index.
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The atom-bond connectivity index of graph is a topological index proposed by Estrada et al. as ABC (G) uvE (G ) (du dv 2) / dudv , where the summation goes over all edges of G, du and dv are the degrees of the terminal vertices u and v of edge uv. In the present paper, some upper bounds for the second type of atom-bond connectivity index are computed.
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full texton second atom-bond connectivity index
the atom-bond connectivity index of graph is a topological index proposed by estrada et al.as abc (g) uve (g ) (du dv 2) / dudv , where the summation goes over all edges ofg, du and dv are the degrees of the terminal vertices u and v of edge uv. in the present paper,some upper bounds for the second type of atom-bond connectivity index are computed.
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The atom–bond connectivity (ABC) index of a graph G is defined as
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Journal title:
iranian journal of mathematical chemistryPublisher: university of kashan
ISSN 2228-6489
volume 3
issue Supplement 1 2012
Keywords
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