Dr. Premkumar T. Lalchandani
- Associate Professor
- Life member of “Indian Science Congress Association”, Government of India.,Life member& Joint Secretary of “Friends and Alumni Association” of Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar.,Life Member & Trustee of “Vasundhara Nature Club, Junagadh”, an NGO working in the field of Nature Awareness.
Contact Details
- Email: prem.lalchandani@dsuni.ac.in
Qualification
Ph.D, Saurashtra University Rajkot, 2021
M.Sc, Sardar Patel University Vallabh Vidyanagar, 2013
B.Sc, Saurashtra University Rajkot, 2011
Work Experience
- Total Experience: 12 Years 7 Months
Specilization
- Commutative Ring Theory
- Algebraic Combinatorics
- Graph Theory
- Qualified ‘Gujarat State Eligibility Test – 2022 (GSET-2022)’
- Awarded ‘Minakshi Lalit Science Award – 2013’ by Gujarat Science Academy
- Awarded ‘Swarnim Star Award’ by Saurashtra University
- First prize in Science Excellence – 2010 organized by Gujarat University for a paper presentation on ‘Transportation Problem’
- Awarded ‘Acharya Shree P. A. Pandya Award’ by Indian Association of Physics Teachers
Journal Publications
K. S. Chudasama, P. T. Lalchandani, P. Mishra, A Game-Theoretic Analysis of Work–Life Balance Strategies Among Educators, Tangence, Vol. 138, pp. 31–39, 2026.
S. K. Babariya, Premkumar T. Lalchandani, Adjacency Spectrum and Energy of the Exact Zero-Divisor Graph of Zn, Journal of the Iranian Mathematical Society (ISSN: 2717-1612), Vol. 6, Issue 2, pp. 149–158, 2026.
S. Visweswaran, Premkumar T. Lalchandani, On the Comaximal Graph of a Non-Quasi-Local Atomic Domain, Communications in Combinatorics and Optimization (ISSN: 2538-2128), Vol. 11, Issue 6, pp. 33–48, 2026.
P. T. Lalchandani, N. Gor, Domination Parameters and Structural Properties of Exact Annihilating-Ideal Graphs, International Journal of Applied Mathematics, Vol. 38, Issue 4, pp. 566–582, 2025.
Premkumar T. Lalchandani, Meet J. Mashru, Factorization Properties of Subrings of Some Trigonometric Polynomial Rings, Bulletin of the Calcutta Mathematical Society (ISSN: 0008-0659), Vol. 113, Issue 3, pp. 390–398, 2025.
S. K. Babariya, Premkumar T. Lalchandani, On Adjacency Spectrum of Non-Zero Divisor Graph of Zn, Communications in Mathematics and Applications (ISSN: 0975-8607), Vol. 16, Issue 1, pp. 67–76, 2025.
S. Visweswaran, Premkumar T. Lalchandani, Some Properties of a Graph Associated with a Non-Quasi-Local Weakly Factorial Domain, Asian European Journal of Mathematics, Vol. 18, Issue 4, 2025.
P. T. Lalchandani, N. Gor, On Extended Unit Graphs over Finite Rings, Panamerican Mathematical Journal, Vol. 35, Issue 3, pp. 789–802, 2025.
K. S. Chudasama, P. T. Lalchandani, Optimizing Human Resources in the Supply Chain Management: A Mathematical Modeling Perspective, Anusandhanvallari, Vol. 1, pp. 1827–1836, 2024.
Jaydeep Parejiya, Premkumar T. Lalchandani, Daxa Jani, Sneha Mundadiya, Some Remarks on Harmonic Mean Cordial Labeling, AIP Conference Proceedings (ISSN: 1551-7616), Vol. 2963, Issue 1, 2023.
S. Visweswaran, Premkumar T. Lalchandani, Some Results on Graphs Associated with a Non-Quasilocal Atomic Domain, Le Matematiche (ISSN: 0373-3505), Vol. 78, Issue 1, pp. 177–199, 2023.
S. Visweswaran, Premkumar T. Lalchandani, Characterization of Zero-Dimensional Rings Such That the Clique Number of Their Annihilating-Ideal Graphs Is at Most Four, Algebraic Structures and Their Applications (ISSN: 2423-3447), Vol. 10, Issue 2, pp. 127–154, 2023.
S. Visweswaran, Premkumar T. Lalchandani, The Exact Zero-Divisor Graph of a Reduced Ring, Indian Journal of Pure and Applied Mathematics (ISSN: 0019-5588), Vol. 52, Issue 4, pp. 1123–1144, 2021.
S. Visweswaran, Premkumar T. Lalchandani, The Exact Annihilating-Ideal Graph of a Commutative Ring, Journal of Algebra, Combinatorics, Discrete Structures and Applications (ISSN: 2148-838X), Vol. 8, Issue 2, pp. 119–138, 2021.
Premkumar T. Lalchandani, An Alternative Approach to Theory of Weak Factoriality, Proceedings – Mathematical Sciences (ISSN: 0253-4142), Vol. 129, Issue 2, 2019.
S. Visweswaran, Premkumar T. Lalchandani, Some Results on Modules Satisfying S-Strong ACCR*, Arab Journal of Mathematical Sciences (ISSN: 1319-5166), Vol. 25, Issue 2, pp. 145–155, 2019.
Premkumar T. Lalchandani, Exact Zero-Divisor Graphs of Commutative Rings, International Journal of Mathematics & Its Applications (ISSN: 2347-1557), Vol. 6, Issue 4, pp. 91–98, 2018.
Premkumar T. Lalchandani, Exact-Annihilating Ideal Graph of Commutative Rings, Journal of Algebra & Related Topics (ISSN: 2345-3931), Vol. 5, Issue 1, pp. 27–33, 2017.
Premkumar T. Lalchandani, Exact Zero-Divisor Graph, International Journal of Science, Engineering & Management (ISSN: 2456-1304), Vol. 1, Issue 6, pp. 14–17, 2016.
S. Visweswaran, Premkumar T. Lalchandani, When Is the Annihilating Ideal Graph of a Zero-Dimensional Semiquasilocal Commutative Ring Planar?, Bollettino dell’Unione Matematica Italiana (ISSN: 1972-6724), Vol. 9, Issue 4, pp. 453–468, 2016.
IPR / Patent
Premkumar T. Lalchandani, Meet J. Mashru, Sagarkumar Babariya, Mathematics Problem Solving Device, Registered and Published U.K. Design, The Patent Office, Government of the United Kingdom, January 2024.
Conference Publications / Presentations
Presented Some Results on Compressed Exact Zero-Divisor Graph, 90th Annual Conference of the Indian Mathematical Society, MIT World Peace University, Pune, 23–26 December 2024.
Presented On a Graph Associated with a Nonquasilocal Weakly Factorial Domain, 5th Prof. P. C. Vaidya National Conference on Mathematical Sciences, Gandhinagar, 19–20 February 2024.
Presented Generalized Unique Factorization Domain – An Alternative Approach, 4th Prof. P. C. Vaidya International Conference on Mathematical Sciences, Surat, 04–05 March 2023.
Presented On the Complement of Exact Zero-Divisor Graphs of Commutative Rings, National Conference on Emerging Trends in Discrete Mathematics, Patan, 17–19 March 2022.
Presented Exact Annihilating-Ideal Graphs of Commutative Rings, SCIENSIUM – 2018, Junagadh, 05 March 2018.
Presented A Generalization of Unique Factorization, National Conference on Algebra, Analysis and Graph Theory, Rajkot, 09–11 February 2017.
Presented Exact Zero-Divisor Graphs, International Conference on Emerging Trends in Engineering & Technology, 12 June 2016.
Books / Book Chapters
Premkumar T. Lalchandani, Meet J. Mashru, Sagarkumar K. Babariya, Engineering Mathematics, JVK Technologies, 2024, ISBN: 978-8197048371.