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Computation of New Degree-Based Topological Indices of Graphene

Vijayalaxmi ShigehalliDepartment of Mathematics, Rani Channamma University, Belagavi, Karnataka 591156, IndiaRachanna KanaburDepartment of Mathematics, Rani Channamma University, Belagavi, Karnataka 591156, India
2016en
ABI

Abstract

Graphene is one of the most promising nanomaterials because of its unique combination of superb properties, which opens a way for its exploitation in a wide spectrum of applications ranging from electronics to optics, sensors, and biodevices. Inspired by recent work on Graphene of computing topological indices, here we propose new topological indices, namely, Arithmetic-Geometric index (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi mathvariant="normal">A</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">G</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math>index), SK index, SK 1 index, and SK 2 index of a molecular graph<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>and obtain the explicit formulae of these indices for Graphene.

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