Computation of New Degree-Based Topological Indices of Graphene

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 topologi...

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Main Authors: V. S. Shigehalli, Rachanna Kanabur
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2016/4341919
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author V. S. Shigehalli
Rachanna Kanabur
author_facet V. S. Shigehalli
Rachanna Kanabur
author_sort V. S. Shigehalli
collection DOAJ
description 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 (AG1 index), SK index, SK1 index, and SK2 index of a molecular graph G and obtain the explicit formulae of these indices for Graphene.
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institution Kabale University
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spelling doaj-art-55d51e1b0551429abfd0efaf21edf6f42025-02-03T01:12:05ZengWileyJournal of Mathematics2314-46292314-47852016-01-01201610.1155/2016/43419194341919Computation of New Degree-Based Topological Indices of GrapheneV. S. Shigehalli0Rachanna Kanabur1Department of Mathematics, Rani Channamma University, Belagavi, Karnataka 591156, IndiaDepartment of Mathematics, Rani Channamma University, Belagavi, Karnataka 591156, IndiaGraphene 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 (AG1 index), SK index, SK1 index, and SK2 index of a molecular graph G and obtain the explicit formulae of these indices for Graphene.http://dx.doi.org/10.1155/2016/4341919
spellingShingle V. S. Shigehalli
Rachanna Kanabur
Computation of New Degree-Based Topological Indices of Graphene
Journal of Mathematics
title Computation of New Degree-Based Topological Indices of Graphene
title_full Computation of New Degree-Based Topological Indices of Graphene
title_fullStr Computation of New Degree-Based Topological Indices of Graphene
title_full_unstemmed Computation of New Degree-Based Topological Indices of Graphene
title_short Computation of New Degree-Based Topological Indices of Graphene
title_sort computation of new degree based topological indices of graphene
url http://dx.doi.org/10.1155/2016/4341919
work_keys_str_mv AT vsshigehalli computationofnewdegreebasedtopologicalindicesofgraphene
AT rachannakanabur computationofnewdegreebasedtopologicalindicesofgraphene