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Dr. S. Anukumar Kathirvel

Assistant Professor (Sr. Gr.), School of Computing, Amrita Vishwa Vidyapeetham, Nagercoil

Qualification: Ph.D
s_anukumarkathirvel@nc.amrita.edu.in
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Research Interest: Algebraic Graph Theory

Bio

Dr. Anukumar Kathirvel S is an Assistant Professor in the Department of Mathematics at Amrita Vishwa Vidyapeetham, Nagercoil Campus. He pursued his Ph.D. in generalized Cayley graphs of rings from Manonmaniam Sundaranar University, Tirunelveli. With four years of teaching experience and three years of research experience, Dr. Anukumar Kathirvel had passionate of publishing research papers in International Journals, Scopus and SCI. He has actively participated in various Workshops, Intercollegiate Seminars, and Conferences. Recently, he completed an NPTEL course titled “Introduction to Abstract and Linear Algebra” (July to September 2022), where he achieved a score of 99%. His research interests include Algebra and Cayley graphs of rings.

Publications

Journal Article

Year : 2024

Generalized non-coprime graphs of groups

Cite this Research Publication : Anukumar Kathirvel S., Peter J Cameron & Tamizh Chelvam T.,Generalized non-coprime graphs of groups, Journal of Algebraic Combinatorics, 59(4), 807-825,2024.

Publisher : Springer

Year : 2023

Connectivity of the complement of generalized total graph of finite fields

Cite this Research Publication : Balamurugan, M., Kathirvel, S. A., & Chelvam, T. T., Connectivity of the complement of generalized total graph of finite fields, Palestine Journal of Mathematics, 12(II) 44-48, 2023.

Year : 2020

Intersection graph of gamma sets in generalized Cayley graphs of finite rings

Cite this Research Publication : Chelvam, T. T., Kathirvel, S. A., & Balamurugan, M., Intersection graph of gamma sets in generalized Cayley graphs of finite rings, Houston journal of mathematics, (3), 561-582, 2020.

Year : 2020

Domination in generalized unit and unitary Cayley graphs of finite rings

Cite this Research Publication : Tamizh Chelvam, T., Anukumar Kathirvel, S.,Balamurugan M., Domination in generalized unit and unitary Cayley graphs of finite rings, Indian Journal of Pure and Applied Mathematics, 51(2), 533-556, 2020.

Publisher : Springer

Year : 2019

Note on generalized Cayley graph of finite rings and its complement

Cite this Research Publication : Thirugnanam, T. C,Anukumar Kathirvel Selvaraj, Note on generalized Cayley graph of finite rings and its complement, The Journal of Analysis, 27, 555-566, 2019.

Publisher : Springer

Year : 2019

Generalized unit and unitary Cayley graphs of finite rings

Cite this Research Publication : Tamizh Chelvam T., & Anukumar Kathirvel S., Generalized unit and unitary Cayley graphs of finite rings, Journal of Algebra and Its Applications, 18(01), 1950006, 2019.

Experience
S.No. Designation Dept. College Period
From To
1 Assistant Professor (Sr. Gr.) Mathematics Amrita Vishwa Vidyapeetham, Nagercoil Campus 01/10/2024 Till date
2 Assistant Professor Science and Humanities Amrita College of Engineering and Technology, Nagercoil. 01/08/2020 30/09/2024
3 Assistant Professor Mathematics Sardar Raja Arts and Science College, Tirunelveli. 06/02/2019 31/07/2020
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