G.Jayalalitha

@velsuniv.ac.in

Professor ,Mathematics
VELS Institute of Science, Technology and Advanced Studies Pallavaram Chennai

G.Jayalalitha


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https://researchid.co/gopal17

Professor, Dept. of Mathematics,
VELS Institute of Science, Technology and
Advanced Studies, Pallavaram, Chennai.
Mobile :99944 89925
Email: ragaji94@, g.

EDUCATION [1983 – 1986] Avinashilingam Home Science College Coimbatore
B.Sc., Maths, Physics, & Chemistry
[ 1992 ] Annamalai University Chidambaram
M.Sc., Mathematics
[ 2004 ] Alagappa University Karaikudi
M.Phil., Mathematics

24th March 2011 Ph.D in Mathematics
Title: MATHEMATICAL MODELING
IN BIOLOGY USING FRACTALS
Sri Chandrasekarendra Saraswathi
Viswa Mahavidhyalaya,
Deemed University,
Kanchipuram

DOB 13.12.1965
Total TeachingExperiences- 17 year

EDUCATION

M.Sc M.

RESEARCH INTERESTS

Fractals, Mathematical Modeling, Graph Theory
52

Scopus Publications

297

Scholar Citations

9

Scholar h-index

9

Scholar i10-index

Scopus Publications

  • Enhancing AI With Fractal Geometry for Advanced Data Compression
    S. Kavitha, G. Jayalalitha
    Aip Conference Proceedings, 2026
  • Investigation of Chaotic Fuzzy Logic-Based Optical Character Recognition Model for Application in the Education Sector Field
    Journal of Fuzzy Extension and Applications, 2025
  • The study on Schizophrenia using Brownian motion and network analysis
    K. Suspritha, G. Jayalalitha
    Aip Conference Proceedings, 2025
  • Creation of Bacteria in Tongue Diagnosis Based on Fractal Methods
    S. Pavithra, G. Jayalalitha
    Baghdad Science Journal, 2025
    Bacteria play a vital role in helping with digestion and protecting against harmful infections. However, the Gram-negative bacteria in Tongue will have some disadvantages in the human body. These can be diagnosed by employing the fractal concept. Bacteria's irregular shape and Complex nature can be quantified using fractal dimensions that exhibit self-similarity at different scales. The fractal measurement procedure deliberates the dissimilarity and surface complexity of the tongue-inclusive spot on the tongue. An image of the tongue is analyzed by the HarFa Fractal Method. The Sobel improved Box counting Method is employed to enumerate the outgrowth of Bacteria in Tongue. Lacunarity is to examine the interlude present in the tongue. The escalating lacunarity value implies an extreme degree of heterogeneity. It undergoes a professional design of proportions that contain opinions about a dimension of how an entity tops up capacity. Additionally, an elevated crash on the skin deepens , the growth of spots that enfold the tongue via numerous configurations, hence modifying the common tongue to a malformation. To scrutinize the affected area in the tongue and estimate its measurement, employ the arithmetical process of rescue measures along with increasing the nature of the diagnosis.
  • ANALYSIS OF NEUTROSOPHIC SETS AND INTUITIONISTIC NEUTROSOPHIC SETS, COMPLEXITY IN MEDICAL DIAGNOSIS
    Palestine Journal of Mathematics, 2025
  • Enhancing Educational Systems with Fuzzy Logic-Based Decision-Making Frameworks
    P Sweetlin, G Jayalalitha
    2025 International Conference on Networks and Cryptology Netcrypt 2025, 2025
    The development of education demands a paradigm change toward learning systems that are tailored and flexible and that satisfy the several needs of students. Conventional methods typically lack the adaptability to handle different learning speeds, cognitive skills, and customized support. This limit also affects general performance and satisfaction as well. Fuzzy logic offers a new way to solve these problems by letting systems handle uncertain and imprecise data, so simulating human decision-making. This paper attempts to introduce a fuzzy logic based on framework for decision-making proposal to enhance educational systems. This framework creates adaptive recommendations by combining elements in a range that include student involvement, performance, learning preferences, and feedback. Examining real-time student data with fuzzy rules and membership functions, the model produces forecasts about outcomes and recommendations for tailored interventions. The method employs the evolution of fuzzy inference systems, the simulation of several learning environments, and the validation of the methodology using a dataset comprising of 1500 student records obtained by means of academic performance measures and surveys. The proposed fuzzy logic framework increases satisfaction by 30 % and improves prediction accuracy for student performance by 95 % when compared to the conventional approaches, preliminary results show. The system's adaptability lets one create personalized learning paths, so creating an inclusive environment where students could realize their own potential. Reducing the work teachers have to do, the framework also automates routine tasks including performance analysis and feedback generation.
  • Neutrosophic Soft Sets in One And Two-Dimensions Using Iteration Method
    M.N.Bharathi, G.Jayalalitha
    Neutrosophic Sets and Systems, 2025
    This paper introduces a different perspective of Neutrosophic Fractals and Neutrosophic Soft Fractals, merging the principles of Neutrosophic Logic, Soft set theory, and Fractal Geometry to address indeterminacy in complex, self-similar structures specifically the Von Koch curve and the Sierpinski triangle. It sightsees the complex qualities of Neutrosophic soft sets by incorporating attributes of falsification, indefiniteness, and truth into union and intersection operations. The research elucidates the interplay between Neutrosophic Logic and fractal geometry, leading to more precise modeling of complex systems. Proving theorems and providing examples examine the intricate interactions between membership characteristics in these fractal structures, demonstrating self-similarity. Fractal geometry is applied innovatively to improve the representation of uncertainty, indeterminacy, and falsity in Neutrosophic Logic, enhancing mathematical modeling techniques. Results show that the Sierpinski triangle provides a better representation than the Koch curve.
  • Analysis of Topological Indices and Fractals in Amoxicillin
    Letters in Applied Nanobioscience, 2024
    Antibiotics are essential for curing diseases. Amoxicillin is indeed one of the antibiotics used to treat bacterial infections. Topological indices are mathematical values used to analyze and explore certain physicochemical properties of molecules. In this paper, various topological indices are computed based on the degree of the studied molecular graph. Topological indices values are utilized in drug design analysis to guide patient treatment strategies. The complexity derived from topological values can be further analyzed using mathematical concepts like Julia sets.
  • Advanced fractal graph theory and applications
    P. Tharaniya, G. Jayalalitha, Pethuru Raj, B. Sundaravadivazhagan
    Advanced Fractal Graph Theory and Applications, 2024
    This book explores the dynamic interplay between fractals and graph theory, two powerful mathematical tools with vast applications. It presents a strategic combination and the synergistic use of these disciplines to address real-world problems and challenges. The book begins with an introduction to the basic concepts of fractals and graph theory and goes on to explore the applications in various domains, including natural phenomena modeling, scheduling, and network optimisation. This book: Illustrates the innovative ways fractals and graph theory can be combined, laying the groundwork for future applications across various industries Introduces the fundamental concepts and principles of both fractals and graph theory in detail, making it accessible to a broad audience, including those new to these topics Explores practical applications in image processing, network optimisation, social network analysis, and more, demonstrating the real-world impact of these mathematical tools Analyses advanced techniques in graph theory, such as matching, domination, and colouring, with practical examples and case studies Highlights the latest research advancements in fractal graph theory, showcasing its potential for future developments and applications This book is for students, researchers, and professionals in mathematics, computer science, engineering, and related fields.
  • Enhanced Security in Public Key Cryptography: A Novel Approach Combining Gaussian Graceful Labeling and NTRU Public Key Cryptosystem
    S Kavitha, G Jayalalitha, K Sivaranjani
    Eai Endorsed Transactions on Internet of Things, 2024
    This research explores an encryption system that combines the Nth-degree Truncated Polynomial Ring Unit (NTRU) public key cryptosystem with Gaussian Graceful Labeling. This process assigns distinct labels to a graph's vertices, resulting in successive Gaussian integers. The NTRU method offers enhanced security and efficient key exchange. The communication encryption process depends on integers P, a, and b, with P being the largest prime number in the vertex labeling. The original receivers are the vertex labeling with the largest prime number coefficient, while all other receivers receive messages from the sender. A polynomial algebraic mixing system and a clustering principle based on the abecedarian probability proposition are used in NTRU encryption and decryption. The choice of relatively prime integers p and q in NTRU plays a role in the construction of polynomial rings used for encryption and decryption, with specific choices and properties designed to ensure scheme security.
  • Growth of bacteria is collated with Brownian motion
    S. Pavithra, G. Jayalalitha
    Journal of Interdisciplinary Mathematics, 2024
  • Analysis of Bacillus Thuringiensis Bacteria Applying Multifractals
    S. Pavithra, G. Jayalalitha
    Proceedings of 9th International Conference on Science Technology Engineering and Mathematics the Role of Emerging Technologies in Digital Transformation Iconstem 2024, 2024
  • Analysis Of Neutrosophic Set, Julia Set In Aircraft Crash
    NSS
    Neutrosophic Sets and Systems, 2024
  • Iterated Function System in Fingerprint Images
    M. Raji, G. Jayalalitha
    Lecture Notes in Networks and Systems, 2023
  • Computation of Domination Sets in Von Koch Curve Using C Program
    P. Tharaniya, and G. Jayalalitha
    Aip Conference Proceedings, 2022
  • Brownian motion in EOQ
    K. Suganthi, G. Jayalalitha
    Mathematics in Computational Science and Engineering, 2022
  • Percolation theory in the road map using network analysis
    I. Darvina, G. Jayalalitha
    Aip Conference Proceedings, 2022
  • IFS and metric space in structure of benzene
    M. Raji, G. Jayalalitha
    Aip Conference Proceedings, 2022
  • Brownian Motion in Shares of Bank
    K. Suganthi, G. Jayalalitha
    Lecture Notes in Networks and Systems, 2022
  • Fuzzy fractals in cervical cancer
    T. Sudha, G. Jayalalitha
    Fuzzy Intelligent Systems Methodologies Techniques and Applications, 2021
  • Eccentric Distance Sum in Chemical Compounds Graph Using Domination
    M. Raji, G. Jayalalitha
    Advances in Intelligent Systems and Computing, 2021
  • Maximum Matching in Koch Snowflake and Sierpinski Triangle
    P. Tharaniya, G. Jayalalitha
    Advances in Intelligent Systems and Computing, 2021
  • Inventory Cost Estimation Using Brownian Motion
    K. Suganthi, G. Jayalalitha
    Advances in Intelligent Systems and Computing, 2021
  • Harary Index of Anthracene's Chemical Graph Using Domination
    M. Raji, G. Jayalalitha
    Webology, 2021
  • Analysis of Sierpinski Triangle Based on Fuzzy Triangular Numbers and Dihedral Group
    T. Sudha, G. Jayalalitha
    Advances in Intelligent Systems and Computing, 2021
  • Fuzzy triangular numbers in-Sierpinski triangle and right angle triangle
    T Sudha, G Jayalalitha
    Journal of Physics Conference Series, 2020
  • Analyzation of maximum matching and maximal matching in various graphs
    International Journal of Pharmaceutical Research, 2020
  • Fixed points-julia sets
    G. Subathra, G. Jayalalitha
    Advances in Mathematics Scientific Journal, 2020
  • Maximum matching in hilbert curve
    P. Tharaniya, G. Jayalalitha
    Advances in Mathematics Scientific Journal, 2020
  • Forecasting stock market of bank using brownian motion
    K. Suganthi, G. Jayalalitha
    Advances in Mathematics Scientific Journal, 2020
  • Maximum matching in sierpenski arrow head curve
    Sugana R.
    Journal of Advanced Research in Dynamical and Control Systems, 2020
  • Fractal observation of planets position in human horoscope
    C. Anusuya, R. Kamali, G. Jayalalitha
    Advances in Mathematics Scientific Journal, 2020
  • EMD of Linear Benzenoid Chain Using Chemical Graph
    M Raji, G Jayalalitha
    Journal of Physics Conference Series, 2019
  • Geometric Brownian Motion in Stock Prices
    K Suganthi, G Jayalalitha
    Journal of Physics Conference Series, 2019
  • Medium domination number in linear polyacene
    S. Venkatesan, M. Raji, G. Jayalalitha
    International Journal of Innovative Technology and Exploring Engineering, 2019
  • Analysis of diabetes based on fuzzy fractals
    International Journal of Recent Technology and Engineering, 2019
  • Centralized inventory model with shortages using lacunarity
    International Journal of Recent Technology and Engineering, 2019
  • Renormalization in AC circuits based on fractal
    International Journal of Recent Technology and Engineering, 2019
  • The Generalization of Rook Number r2 for the Fractal Chessboard
    R Sangeetha, G Jayalalitha
    Journal of Physics Conference Series, 2018
  • Laplacian and effective resistance metric in Sierpinski Gasket Fractal
    P. Uthayakumar, G. Jayalalitha
    Trends in Mathematics, 2018
  • Self-similarity in fractal ac circuits
    Journal of Advanced Research in Dynamical and Control Systems, 2018
  • Forecasting the annual temperature of India by using exponential smoothing
    Journal of Advanced Research in Dynamical and Control Systems, 2018
  • Degree based in molecular graph of organic compounds on domination
    Journal of Advanced Research in Dynamical and Control Systems, 2018
  • Complex patterns in financial time series through higuchi's fractal dimension
    T. G. GRACE ELIZABETH RANI, G. JAYALALITHA
    Fractals, 2016
  • Heterogeneous mathematical tools for the analysis of diabetes - A fractal system
    T.G. Grace Elizabeth Rani, G. Jayalalitha
    International Conference on Electrical Electronics and Optimization Techniques Iceeot 2016, 2016
  • Fractal approach to identify the grade of cervical cancer
    G. JAYALALITHA, R. UTHAYAKUMAR
    Fractals, 2011
  • Fractal approach to understand PFO and DCS in sport divers
    G. JAYALALITHA, R. UTHAYAKUMAR
    Fractals, 2010
  • Recognition of cervical cancer based on fractal dimension
    G. Jayalalitha, R. Uthayakumar
    Artcom 2009 International Conference on Advances in Recent Technologies in Communication and Computing, 2009
  • Border detection of skin cancer cells with fractal dimension
    R. UTHAYAKUMAR, G. JAYALALITHA
    Fractals, 2009
  • Fractal model for blood flow in cardiovascular system
    G. Jayalalitha, V. Shanthoshini Deviha, R. Uthayakumar
    Computers in Biology and Medicine, 2008
  • Estimating the skin cancer using fractals
    V. Vasantha, D. Manimegalai
    Proceedings International Conference on Computational Intelligence and Multimedia Applications Iccima 2007, 2008
  • Fractal model of the blood vessel in cardiovascular system
    G. Jayalalitha, V. Shanthoshini Deviha, R. Uthayakumar
    Proceedings of the 15th International Conference on Advanced Computing and Communications Adcom 2007, 2007

RECENT SCHOLAR PUBLICATIONS

  • Enhancing AI with fractal geometry for advanced data compression
    S Kavitha, G Jayalalitha
    AIP Conference Proceedings 3348 (1), 030011 , 2026
    2026
  • Minimum Connected Dominating Energy of Graphs in Alkane
    GT Fathima, G Jayalalitha, RM Arfayeen
    Advanced Pathways in Electrical, Communication, and Automation, 421-426 , 2026
    2026
  • Spectral Analysis of the Similarity of Shampoo Ingredients Via Graph Theory
    T Greeta, G Jayalalitha
    Advanced Pathways in Electrical, Communication, and Automation, 383-388 , 2026
    2026
  • Creation of Bacteria in Tongue Diagnosis Based on Fractal Methods.
    S Pavithra, G Jayalalitha
    Baghdad Science Journal 22 (7) , 2025
    2025
  • The study on Schizophrenia using Brownian motion and network analysis
    K Suspritha, G Jayalalitha
    AIP Conference Proceedings 3306 (1), 020016 , 2025
    2025
  • Enhancing Educational Systems with Fuzzy Logic-Based Decision-Making Frameworks
    P Sweetlin, G Jayalalitha
    2025 International Conference on Networks and Cryptology (NETCRYPT), 422-426 , 2025
    2025
  • ANALYSIS OF NEUTROSOPHIC SETS AND INTUITIONISTIC NEUTROSOPHIC SETS, COMPLEXITY IN MEDICAL DIAGNOSIS
    MN Bharathi, G Jayalalitha
    Palestine Journal of Mathematics 14 , 2025
    2025
  • Neutrosophic Fuzzy Sets of Interval Analysis in Parachute Dive Using Alpha-Cut and Harfa Fractals
    MN Bharathi, G Jayalalitha
    Volume IV, 95-102 , 2025
    2025
  • Tracing the gesture of bacteria using DLA method
    S Pavithra, G Jayalalitha
    Hybrid and Advanced Technologies, 635-640 , 2025
    2025
  • Neutrosophic soft sets in one and two-dimensions using iteration method
    MN Bharathi, G Jayalalitha
    Neutrosophic Sets and Systems 79, 330-341 , 2025
    2025
    Citations: 1
  • Advanced fractal graph theory and applications
    P Tharaniya, G Jayalalitha, P Raj, B Sundaravadivazhagan
    Chapman and Hall/CRC , 2024
    2024
    Citations: 5
  • Analysis Of Neutrosophic Set, Julia Set In Aircraft Crash
    MN Bharathi, G Jayalalitha
    Neutrosophic Sets and Systems, 218 , 2024
    2024
    Citations: 1
  • Analysis of Bacillus Thuringiensis Bacteria Applying Multifractals
    S Pavithra, G Jayalalitha
    2024 Ninth International Conference on Science Technology Engineering and … , 2024
    2024
  • AN INVESTIGATION ON THE INTER RELATIONS BETWEEN FUZZY ROUGH UTRA TM CONNECTED SYSTEM AND OTHER FUZZY ROUGH ALGEBRAIC TM SYSTEM
    M SRIVIDYA, G JAYALALITHA
    2024
  • Inter relations between algebraic boundary and other boundary
    M Srividya, G Jayalalitha
    2024
  • A STUDY ON QUASI UNIFORM DYNAMICAL SYSTEM
    M Srividya, D Vidhya, G Jayalalitha
    International Journal of Scientific Research in Modern Science and … , 2023
    2023
  • A CONTRIBUTION TO THE STUDY ON CHAOS SPACE IN FUZZY ROUGH ALGEBRAIC TM SYSTEM
    M Srividya, G Jayalalitha
    International Journal of Scientific Research in Modern Science and … , 2023
    2023
  • Enhanced Security in Public Key Cryptography: A Novel Approach Combining Gaussian Graceful Labeling and NTRU Public Key Cryptosystem
    S Kavitha, G Jayalalitha, K Sivaranjani
    EAI Endorsed Transactions on Internet of Things 10 , 2023
    2023
    Citations: 2
  • Brownian Motion in Shares of Bank
    K Suganthi, G Jayalalitha
    Mathematical and Computational Intelligence to Socio-scientific Analytics … , 2023
    2023
  • A STUDY ON FUZZY ROUGH ALGEBRAIC BORDER AND EXTERIOR
    M SRIVIDYA, G JAYALALITHA
    2023

MOST CITED SCHOLAR PUBLICATIONS

  • Fractal model for blood flow in cardiovascular system
    G Jayalalitha, VS Deviha, R Uthayakumar
    Computers in Biology and Medicine 38 (6), 684-693 , 2008
    2008
    Citations: 53
  • Geometric brownian motion in stock prices
    K Suganthi, G Jayalalitha
    Journal of Physics: Conference Series 1377 (1), 012016 , 2019
    2019
    Citations: 39
  • Fuzzy triangular numbers in-Sierpinski triangle and right angle triangle
    T Sudha, G Jayalalitha
    Journal of Physics: Conference Series 1597 (1), 012022 , 2020
    2020
    Citations: 14
  • Recognition of Cervical cancer based on Fractal Dimension
    G Jayalalitha, R Uthayakumar
    2009 International Conference on Advances in Recent Technologies in … , 2009
    2009
    Citations: 14
  • Border detection of skin cancer cells with fractal dimension
    R Uthayakumar, G Jayalalitha
    Fractals 17 (02), 171-180 , 2009
    2009
    Citations: 14
  • Estimating the skin Cancer using fractals
    G Jayalalitha, R Uthayakumar
    International Conference on Computational Intelligence and Multimedia … , 2007
    2007
    Citations: 14
  • Degree based in Molecular Graph of Organic compounds on Domination
    S Vijayalakshmi, M Raji, G Jayalalitha
    Journal of Advanced Research in Dynamical and Control Systems 10 (6), 962-66 , 2018
    2018
    Citations: 12
  • Fractal approach to identify the grade of cervical cancer
    G Jayalalitha, R Uthayakumar
    Fractals 19 (01), 125-139 , 2011
    2011
    Citations: 12
  • Schultz polynomial, modified Schultz polynomial and indices of molecular graph of anthracene based on domination
    G Jayalalitha, M Raji
    International Journal of Research in Advent Technology 7 (1), 136-140 , 2019
    2019
    Citations: 11
  • Complex patterns in financial time series through Higuchi’s fractal dimension
    TG Grace Elizabeth Rani, G Jayalalitha
    Fractals 24 (04), 1650048 , 2016
    2016
    Citations: 9
  • Hyper wiener index of molecular graph of naphthalene using domination
    G Jayalalitha, M Raji, S Senthil
    Int. J. Analyt. Exper. Modal Anal.(IJAEMA). XI 10, 126-129 , 2019
    2019
    Citations: 8
  • Fractal model of the blood vessel in cardiovascular system
    G Jayalalitha, VS Deviha, R Uthayakumar
    15th International Conference on Advanced Computing and Communications … , 2007
    2007
    Citations: 8
  • A comparison of fractal dimension algorithms by Hurst exponent using gold price time series
    P Uthayakumar, G Jayalalitha
    International Journal for Research in Applied Science & Engineering … , 2014
    2014
    Citations: 7
  • Advanced fractal graph theory and applications
    P Tharaniya, G Jayalalitha, P Raj, B Sundaravadivazhagan
    Chapman and Hall/CRC , 2024
    2024
    Citations: 5
  • Analyzation of Maximum Matching and Maximal Matching in Various Graphs
    A Anitha, P Tharaniya, S Senthil, G Jayalalitha
    International Journal of Pharmaceutical Research 12 (3), 778-782 , 2020
    2020
    Citations: 5
  • Single Server FiniteCapacity Markovian Queuing Model withEncouragement Arrival
    M Ahmad, G Jayalalitha
    Nat. Volatiles &Esent. Oils 8 (5), 9417-9424 , 2021
    2021
    Citations: 4
  • Equitable Domination in Chemical Structural Graph
    EA Gnanasoundari, M Raji, G Jayalalitha
    European Journal of Molecular & Clinical Medicine 7 (2), 5246-5249 , 2020
    2020
    Citations: 4
  • Spectral decimation functions and forbidden eigen values in the graph of level sierpinski triangles
    P Uthayakumar, G Jayalalitha
    South Asian Journal of Engineering and Technology 2 (14), 47-57 , 2016
    2016
    Citations: 4
  • Molecular graph of linear benzenoid compounds as fractals
    M Raji, G Jayalalitha
    Elem. Educ. Online 20 (4), 2146-2146 , 2021
    2021
    Citations: 3
  • Applying Queuing Theory to Enhance the Service Provided by A Restaurant
    LK Bhavani, G Jayalalitha
    Annals of the Romanian Society for Cell Biology 25 (6), 4479-4484 , 2021
    2021
    Citations: 3