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Closed Formulas for Some New Degree Based Topological Descriptors Using M-polynomial and Boron Triangular Nanotube
Dong Yun Shin1, Sabir Hussain2, Farkhanda Afzal3
1Department of Mathematics, University of Seoul, Seoul, South Korea.
This study introduces novel formulas for calculating several graph-based topological indices, including the reduced reciprocal Randić and M-polynomial derived indices, for boron triangular nanotubes. These findings are visualized graphically.
Area of Science:
- Chemical Graph Theory
- Nanomaterials Science
- Computational Chemistry
Background:
- Topological indices are crucial for predicting molecular properties.
- Boron nanotubes exhibit unique electronic and structural characteristics.
- M-polynomials offer an efficient method for computing topological indices.
Purpose of the Study:
- To derive new formulas for computing various topological indices.
- To apply these formulas to boron triangular nanotubes.
- To analyze the topological properties of these nanostructures.
Main Methods:
- Utilizing the M-polynomial for index computation.
- Developing novel mathematical formulas for specific topological indices.
- Applying graph theory principles to nanotube structures.
Main Results:
- New formulas for reduced reciprocal Randić index, Arithmetic-geometric1 index, SK indices, edge version of the first Zagreb index, sum connectivity index, general sum connectivity index, and forgotten index.
- Computation of these indices for boron triangular nanotubes.
- Graphical representations illustrating the index values.
Conclusions:
- The study provides a systematic method for calculating topological indices in boron nanotubes.
- The derived formulas and results offer insights into the structure-property relationships of these materials.
- Graphical representations aid in understanding the distribution and behavior of these indices.
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