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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

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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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