Abstract

Topological indices are numeric quantities that transform chemical structure to real number. Topological indices are used in QSAR/QSPR studies to correlate the bioactivity and physiochemical properties of molecule. In this paper, some newly designed neighborhood degree-based topological indices named as neighborhood Zagreb index ([Formula: see text]), neighborhood version of Forgotten topological index ([Formula: see text]), modified neighborhood version of Forgotten topological index ([Formula: see text]), neighborhood version of second Zagreb index ([Formula: see text]) and neighborhood version of hyper Zagreb index ([Formula: see text]) are obtained for Graphene and line graph of Graphene using subdivision idea. In addition, these indices are compared graphically with respect to their response for Graphene and line graph of subdivision of Graphene.

Highlights

  • Topological indices are used in QSAR/QSPR studies to correlate the bioactivity and physiochemical properties of molecule

  • Some newly designed neighborhood degree-based topological indices named as neighborhood Zagreb index (MN ), neighborhood version of Forgotten topological index (FN ), modied neighborhood version of Forgotten topological index

  • Graph theory creates a link between Mathematics and Chemistry by a useful tool named topological index

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Summary

Introduction

Topological indices are used in QSAR/QSPR studies to correlate the bioactivity and physiochemical properties of molecule. Using that partition, we obtainve topological indices discussed in the previous section for Graphene and line graph of Graphene with subdivision idea.

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