Topological properties of Graphene using some novel neighborhood degree-based topological indices

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 (MN), neighborhood version of Forgotten topological index (FN), modified neighborhood version of Forgotten topological index (FN∗), neighborhood version of second Zagreb index (M2∗) and neighborhood version of hyper Zagreb index (HMN) 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.

Keywords

• topological indices
• line graph
• subdivision graph
• graphene