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Publications
20

About

Dr. Usha Arcot is Professor and Head of the Department of Pure and Applied Mathematics at the School of Sciences, Alliance University, Bengaluru. With more than 23 years of distinguished academic experience, she has made significant and pioneering contributions to Graph Theory and Mathematical Chemistry, particularly in the development of topological indices and molecular graph modelling. Her research models and analytical frameworks are widely cited in international literature for their academic rigor and have played a vital role in advancing computational chemistry, nanoscience, and sustainable innovations. An accomplished researcher and dedicated educator, Dr. Arcot is a prolific author and a sought-after speaker at leading international conferences. She seamlessly bridges theoretical and applied mathematics, while also connecting mathematical theory with practical sustainability solutions. Her strong emphasis on interdisciplinary research and mathematical innovation has established her as a key figure in the advancement of science and sustainability. Dr. Usha Arcot is also a frequent resource person for talks and workshops organized by the Anusandhan National Research Foundation (ANRF). usha.arcot@alliance.edu.in

Research areas

  • Quantitative structure–activity relationship
  • Chemistry
  • Mathematics
  • Computer science
  • Physics

Publications (20)

Sorted by most cited.

  1. Chemical applicability and computation of K-Banhatti indices for benzenoid hydrocarbons and triazine-based covalent organic frameworks

    2023

    View DOI
    27 cites
  2. Degree‐Based Molecular Descriptors and QSPR Analysis of Breast Cancer Drugs

    2022

    View DOI
    22 cites
  3. Computing SS Index of Certain Dendrimers

    Journal of Mathematics1970journal article

    View DOI
    21 cites
  4. Structural investigation of carbon nanocone through topological coindices

    2023

    View DOI
    14 cites
  5. Computational insights and study of drugs for dry eye disease through QSPR and MCDM approaches using topological indices

    2025

    View DOI
    2 cites
  6. Prediction of suitable drug for keloid through analytic hierarchy process and topological indices

    2025

    View DOI
    0 cites
  7. An index based quality evaluation of groundwater—a case study of Whitefield area in Bangalore, India

    International Journal of Environmental Analytical Chemistry1970journal article

    View DOI
    0 cites
  8. Degree-based topological indices and polynomials of cellulose

    Journal of Prime Research in Mathematics1970journal article

    0 cites
  9. Graph entropies of porous graphene using topological indices

    Computational and Theoretical Chemistry1970journal article

    View DOI
    0 cites
  10. Molecular structure investigation of anticancer drug by topological indices

    Italian Journal of Pure and Applied Mathematics1970journal article

    0 cites
  11. Novel Degree-Based Topological Descriptors of Carbon Nanotubes

    Journal of Chemistry1970journal article

    View DOI
    0 cites
  12. Novel neighbourhood redefined first and second Zagreb indices on carborundum structures

    Journal of Applied Mathematics and Computing1970journal article

    View DOI
    0 cites
  13. M-Polynomials and Topological Indices of Styrene-Butadiene Rubber (SBR)

    Polycyclic Aromatic Compounds1970journal article

    View DOI
    0 cites
  14. Harmonic index of cubic polyhedral graphs using bridge graphs

    Applied Mathematical Sciences1970journal article

    View DOI
    0 cites
  15. Topological indices on model graph structure of alveoli in human lungs

    Proceedings of the Jangjeon Mathematical Society1970journal article

    0 cites
  16. Trees, unicyclic graphs extremal with respect to Kekule index

    Advanced Studies in Contemporary Mathematics (Kyungshang)1970journal article

    0 cites