Open AccessTopological properties of Graphene using some novel neighborhood degree-based topological indices
Author(s) -
Sourav Mondal,
Nilanjan De,
Anita Pal
Publication year - 2019
Publication title -
international journal of mathematics for industry
Language(s) - English
Resource type - Journals
eISSN - 2661-3352
pISSN - 2661-3344
DOI - 10.1142/s2661335219500060
Subject(s) - subdivision , topological index , quantitative structure–activity relationship , topology (electrical circuits) , graphene , degree (music) , graph , mathematics , topological quantum number , combinatorics , computer science , physics , geography , quantum mechanics , machine learning , archaeology , acoustics
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.