A general neighborhood redefined Zagreb index on Boron Nanotubes

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Abstract

Mathematical chemistry has widened the scope of research by giving potential applications in almost every field.
The topological index is a part of mathematical chemistry, where the chemical structure is modelled as a graph
and a numerical invariant can be determined. This numeric quantity explains the chemical and bio-activities of
the chemical structure for further research analysis. In this work, the general neighborhood redefined Zagreb
index is defined and computed for boron triangular nanotubes and boron-a nanotubes. Nine degree-based
indices viz., first Zagreb, second Zagreb, hyper Zagreb, first NDe, second NDe, third NDe, fourth NDe, redefined
first Zagreb and redefined second Zagreb indices are derived from the general neighborhood redefined Zagreb
index obtained for the said chemical structure.

Keywords:

Topological indices, \operatorname{NReZbeta$, $gamma$ -index, boron triangular nanotube, boron-a nanotube.

Mathematics Subject Classification:

Mathematics
  • Shanmukha M C Department of Mathematics, Jain Institute of Technology, Davanagere-577003 and affiliated to Visvesvaraya Technological University, Belagavi, Karnataka, India https://orcid.org/0000-0002-9560-1209
  • Usha A Department of Mathematics, Alliance College of Engineering and Design Alliance University Bangalore-562106, Karnataka, India
  • Basavarajappa N S Department of Mathematics, Bapuji Institute of Engineering and Technology, Davanagere-577004 and affiliated to Visvesvaraya Technological University, Belagavi, Karnataka, India
  • Savitha K C Department of Mathematics, GM Institute of Technology, Davanagere-577006 and affiliated to Visvesvaraya Technological University, Belagavi, Karnataka, India
  • Pages: 836-843
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

Shanmukha M C, Usha A, Basavarajappa N S, and Savitha K C. “A General Neighborhood Redefined Zagreb Index on Boron Nanotubes”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 836-43, https://www.malayajournal.org/index.php/mjm/article/view/1169.