Extremal topological indices of some nanostructures
Shivani Rai,
Biswajit Deb,
Zahid Raza,
Sourav Mondal
Affiliations
Shivani Rai
Sikkim Manipal Institute of Technology, Sikkim Manipal University, Sikkim 737136, India; The ICFAI University, Sikkim 737101, India
Biswajit Deb
Sikkim Manipal Institute of Technology, Sikkim Manipal University, Sikkim 737136, India
Zahid Raza
Department of Mathematics, College of Sciences, University of Sharjah, Sharjah 27272, United Arab Emirates; Corresponding author.
Sourav Mondal
Department of Mathematics, Sungkyunkwan University, Suwon 16419, Republic of Korea; Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu-603 203, India
In this work, general formulas of degree-based and neighborhood degree sum-based topological indices for a 2D lattice of H-Naphtalenic nanotubes and pent-heptagonal nanosheets are determined. As an example, six neighborhood degree sum-based topological indices are computed using the obtained formula. Furthermore, the extremal cases of these nanostructures with a fixed number of blocks are characterized for a given degree-based or neighborhood degree sum-based topological index. Also a visual comparison of these indices is shown. Additionally, it is demonstrated how beneficial the indices are for representing structure-property relationships.
