A Study on Certain Topological Indices and Related Polynomials In Graphs
- Title
- A Study on Certain Topological Indices and Related Polynomials In Graphs
- Creator
- Ishita, Sarkar
- Contributor
- Manjunath, N
- Description
- Topological indices are invariants of molecular graphs which are used for quantitative structure-property relationship (QSPR) or quantitative structure-activity newlinerelationship (QSAR) correlations. In this study, we have worked upon the bounds and exact expressions of certain specifc topological indices related with some graph newlineoperations. Further, we have determined the formulations of certain topological indices and co-indices for the total transformation graph. In addition, we have worked upon the reformulated forgotten index and obtained its exact expressions with respect to the transformation graphs and other graph product variants. We describe graph transformations, by means of which the reformulated forgotten index increases or decreases. Using these transformations, the trees, unicyclic and newlinebicyclic graphs extremal with respect to the index are characterized. We carried out newlinethe computation of equitable and non-equitable Zagreb and the relative equitable newlineand non-equitable Zagreb indices of certain chemical compounds like the polycyclic newlinearomatic hydrocarbons, the rhombus silicate, rhombus oxide and copper oxide networks using the equitable Zagreb polynomial formulations. As to demonstrate the application of our study, we have carried out the QSPR analysis of the anti-HIV and anti-Covid drugs with respect to the physico-chemical drug characteristics using the notion of Mand#8722;polynomial and topological indices, thus asserting that the indices taken under study are inherent units for the QSPR inspection of the drugs.
- Source
- Author's Submission
- Date
- 2024-01-01
- Publisher
- Christ(Deemed to be University)
- Subject
- Mathematics and Statistics
- Rights
- Open Access
- Relation
- 61000361
- Format
- Language
- English
- Type
- PhD
- Identifier
- http://hdl.handle.net/10603/585461
Collection
Citation
Ishita, Sarkar, “A Study on Certain Topological Indices and Related Polynomials In Graphs,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 23, 2025, https://archives.christuniversity.in/items/show/12407.