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On the Geometric-Arithmetic Index

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2015-07-01
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Ivan Gutman, Faculty of Science (University of Kragujevac, Serbia)
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Abstract
The concept of geometric-arithmetic index was introduced in the chemical graph theory recently, but it has shown to be useful. The aim of this paper is to obtain new inequalities involving the geometric-arithmetic index GA1 and characterize graphs extremal with respect to them. In particular, we improve some known inequalities and we relate GA1 to other well known topological indices.
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Geometric–arithmetic index, Inequalities, Graph invariant
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MATCH Commununications in Mathematical and in Computer Chemistry, (2015), 74, 103-120.