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Publications
68

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 (68)

Sorted by most cited.

  1. A study on anti-malaria drugs using degree-based topological indices through QSPR analysis

    2022

    View DOI
    49 cites
  2. Active power factor correction technique for single phase full bridge rectifier

    2014

    View DOI
    40 cites
  3. Graph entropies of porous graphene using topological indices

    Computational and Theoretical Chemistry1970journal article

    View DOI
    38 cites
  4. Novel neighbourhood redefined first and second Zagreb indices on carborundum structures

    Journal of Applied Mathematics and Computing1970journal article

    View DOI
    29 cites
  5. Chemical applicability and computation of K-Banhatti indices for benzenoid hydrocarbons and triazine-based covalent organic frameworks

    2023

    View DOI
    27 cites
  6. Chemical applicability and curvilinear regression models of vertex‐degree‐based topological index: Elliptic Sombor index

    2024

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

    2022

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

    Journal of Mathematics1970journal article

    View DOI
    22 cites
  9. A QSPR analysis and curvilinear regression models for various degree-based topological indices: Quinolone antibiotics

    2024

    View DOI
    21 cites
  10. Expected values of Sombor indices and their entropy measures for graphene

    2023

    View DOI
    16 cites
  11. Structural investigation of carbon nanocone through topological coindices

    2023

    View DOI
    15 cites
  12. Novel Degree-Based Topological Descriptors of Carbon Nanotubes

    Journal of Chemistry1970journal article

    View DOI
    15 cites
  13. Optimal Planning of PV Sources and D-STATCOM Devices with Network Reconfiguration Employing Modified Ant Lion Optimizer

    2024

    View DOI
    11 cites
  14. Dynamic fuzzy learning based hybrid GWO-CSA for optimal planning of PV, BESS and DSTATCOM with network reconfiguration

    2024

    View DOI
    10 cites
  15. Structural descriptors of anthracene using topological coindices through CoM-polynomial

    2023

    View DOI
    9 cites
  16. A QSPR analysis and curvilinear regression for various degree-based topological indices of Quinolone antibiotics

    2024

    View DOI
    7 cites
  17. Comparative study of multilayered graphene using numerical descriptors through M-polynomial

    2023

    View DOI
    7 cites
  18. Design and Simulation of MEMS Gas Sensor Topologies for Detection of Inert Gases

    2018

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

    Polycyclic Aromatic Compounds1970journal article

    View DOI
    7 cites
  20. Design and Simulation of a Single Stage Control Strategy for Power Factor Correction based on Soft Switched Flyback Converter

    2019

    View DOI
    6 cites
  21. Comparative study of chitosan derivatives through <scp>CoM</scp>‐polynomial

    2022

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    5 cites
  22. Design and development of high frequency 360Watt RCD clamp forward converter for radar applications

    2014

    View DOI
    5 cites
  23. Design and development of miniaturized 80 Watt Resonant Reset Forward Converter for military applications

    2014

    View DOI
    5 cites
  24. Optimal Planning of PV Sources and D-STATCOM Devices with Network Reconfiguration Employing Modified Ant Lion Optimizer

    2023

    View DOI
    4 cites
  25. Comparative study of degree-based molecular descriptors of cyclodextrins through M-polynomial and NM-polynomial

    2023

    View DOI
    4 cites
  26. Design and analysis of high speed low area-power semi-custom standard library cells using 90nm MOCMOS technology

    2019

    View DOI
    4 cites
  27. Harmonic index of cubic polyhedral graphs using bridge graphs

    Applied Mathematical Sciences1970journal article

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    4 cites
  28. Design and implementation of pulsed output interleaved flyback converter with lossless snubber and current mode control

    2017

    View DOI
    3 cites
  29. Design and simulation of bridgeless PFC buck boost converter fed BLDC motor drive

    2017

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

    2025

    View DOI
    2 cites
  31. Comparison of novel index with geometric-arithmetic and sum-connectivity indices

    2021

    View DOI
    2 cites
  32. Carbon nanotube based Surface Acoustic Wave gas sensor for condition monitoring of gas insulated switchgear systems

    2015

    View DOI
    2 cites
  33. A Feed forward Voltage Mode Controlled ZVS based Phase shifted 300W full bridge DC-DC converter for military application

    2015

    View DOI
    2 cites
  34. A novel MEMS sensor for online health monitoring of gas insulated switchgear systems

    2015

    View DOI
    2 cites
  35. Exploring shared genetic factors and prognostic biomarkers in pancreatic cancer and non-alcoholic fatty liver disease: Focus on hsa-miR-29c-3p and COL11A1 axis

    2024

    View DOI
    1 cites
  36. Machinery to Mind

    2024

    View DOI
    1 cites
  37. Comparative study of Sombor index and its various versions using regression models for top priority polycyclic aromatic hydrocarbons

    2024

    View DOI
    1 cites
  38. Chemical applicability and curvilinear regression models of vertex-degree-based topological index: Elliptic Sombor index

    2024

    View DOI
    1 cites
  39. Power Quality Enhancement of Hybrid Pv-Wind-Battery-Fcs-Ae Based Standalone Microgrid Under the Operation With Various Loads

    2025

    View DOI
    0 cites
  40. A Hybrid Privacy-Aware Fuzzy Transportation Model for Analyzing Internet Addiction: Evidence of Instagram as the Most Addictive Platform

    2025

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

    2025

    View DOI
    0 cites
  42. Quantification of water-soluble synthetic colors by HPLC-DAD method

    2025

    View DOI
    0 cites
  43. Federated AI Framework for Privacy-Preserving Differential Diagnosis Across Distributed Digital Networks

    2025

    View DOI
    0 cites
  44. Effects of Addiction to AI-Modified Least Cost Method in Solving Transportation Problems

    2025

    View DOI
    0 cites
  45. Machine learning and MCDM approaches for the study of benzenoid hydrocarbons through eigenvalues-based graphical indices

    2025

    View DOI
    0 cites
  46. Heavy Metal Removal from Water Using Gongura Leaves as an Eco-Friendly Adsorbent

    2025

    View DOI
    0 cites
  47. Drug evaluation based on multiple criteria for dry eye disease: A QSPR-enhanced VIKOR and TOPSIS approach utilizing degree-based topological indices

    2024

    View DOI
    0 cites
  48. On the Elliptic Sombor and Euler Sombor indices of Corona product of certain graphs

    2024

    View DOI
    0 cites
  49. A study on the reverse Euler Sombor index of various graphs

    2024

    View DOI
    0 cites
  50. Graph Energies of Various Benzenoid Hydrocarbons Through Qspr and Curvilinear Regression Analysis

    2024

    View DOI
    0 cites
  51. Impact of Various Load Models for Combined Assignment of DG Source and D-STATCOM Device in the Radial Distribution System

    2023

    View DOI
    0 cites
  52. Design and Development of Smart Charger for Automotive Application

    2022

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    0 cites
  53. Reciprocal Atom-bond connectivity and Fourth Atom-bond connectivity indices for Polyphenylene structure of molecules

    2020

    View DOI
    0 cites
  54. Finite Files and Irreducible Polynomials

    2019

    0 cites
  55. Design and Implementation of Multiple Output Interleaved Flyback Converter with Post Regulators

    2019

    0 cites
  56. A power electronic design approach to a power supply unit for A1kW high-frequency transmitter in naval applications

    2017

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    0 cites
  57. Design and development of configurable solar converter system

    2016

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    0 cites
  58. Design and implementation of quad-output flyback converter for space applications

    2016

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    0 cites
  59. Design and Development of Biosignal Conditioning and Processing Electronic System by Employing Analog Devices Chip (AD-549) and LabVIEW

    2013

    View DOI
    0 cites
  60. 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
  61. Degree-based topological indices and polynomials of cellulose

    Journal of Prime Research in Mathematics1970journal article

    0 cites
  62. Molecular structure investigation of anticancer drug by topological indices

    Italian Journal of Pure and Applied Mathematics1970journal article

    0 cites
  63. Topological indices on model graph structure of alveoli in human lungs

    Proceedings of the Jangjeon Mathematical Society1970journal article

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

    Advanced Studies in Contemporary Mathematics (Kyungshang)1970journal article

    0 cites