Dr. T. Asir
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Dr. T. Asir

Assistant Professor and Head
Department Of Mathematics-DDE, Madurai Kamaraj University, India

Highest Degree
Ph.D. in Mathematics from Madurai Kamaraj University, Madurai, Tamil Nadu, India

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Area of Interest:

Mathematics
100%
Algebra
62%
Graphs Distance
90%
Computation
75%
Mathematics Science
55%

Research Publications in Numbers

Books
3
Chapters
3
Articles
28
Abstracts
7

Selected Publications

  1. Fakeih, W.M. and T. Asir, 2022. Symmetric graph of a ring with involution. Indian J. Pure Appl. Math., Vol. 53. 10.1007/s13226-022-00253-6.
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  2. Asir, T., V. Rabikka, A.M. Anto and N. Shunmugapriya, 2022. Wiener index of graphs over rings: A survey. AKCE Int. J. Graphs Comb., 19: 316-324.
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  3. Asir, T. and V. Rabikka, 2022. The Wiener index of the zero-divisor graph of Zn. Discrete Appl. Math., 319: 461-471.
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  4. Ashitha, T., T. Asir and M.R. Pournaki, 2022. A large class of graphs with a small subclass of cohen-macaulay members. Commun. Algebra, 50: 5080-5095.
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  5. Asir, T., K. Mano and T.T. Chelvam, 2021. Correction to: Classification of non-local rings with genus two zero-divisor graphs. Soft Comput., 25: 3355-3356.
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  6. Ashitha, T., T. Asir, D.T. Hoang and M.R. Pournaki, 2021. Cohen-macaulayness of a class of graphs versus the class of their complements. Discrete Math., Vol. 344. 10.1016/j.disc.2021.112525.
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  7. Ashitha, T., T. Asir and M.R. Pournaki, 2021. A class of graphs with a few well-covered members. Expositiones Math., 39: 302-308.
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  8. Subramanyam, P. and N.B. Kalyan, 2020. Jeopardy and arrival analysis of certain cement securities in India. Int. J. Adv. Sci. Technol., 29: 3806-3820.
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  9. Asir, T., H.R. Maimani, M.R. Pournaki and T.T. Chelvam, 2019. Some bounds for the genus of a class of graphs arising from rings. Houston J. Math., 45: 371-384.
  10. Asir, T. and K. Mano, 2019. The classification of rings with genus two class of graphs. U.P.B. Scient. Bull. Ser. A: Applied Math. Phys., 81: 143-152.
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  11. Asir, T. and K. Mano, 2019. Classification of rings with crosscap two class of graphs. Discrete Applied Math., 256: 13-21.
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  12. Asir, T. and K. Mano, 2019. Classification of non-local rings with genus two zero-divisor graphs. Soft Comput. 10.1007/s00500-019-04345-0.
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  13. Asir, T. and K. Mano, 2019. Bounds for the genus of generalized total graph of a commutative ring. Algebra Colloquium, 26: 519-528.
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  14. Tamizh, T., Chelvam and T. Asir, 2018. Genus of total graphs from rings: A survey. AKCE Int. J. Graphs Combin., 15: 97-104.
  15. Asir, T. and T.T. Chelvam, 2018. On the genus two characterizations of unit, unitary Cayley and co-maximal graphs. Combinatoria, 138: 77-91.
  16. Asir, T. and K. Mano, 2018. The classification of rings with its genus of class of graphs. Turkish J. Math., 42: 1424-1435.
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  17. Asir, T., 2017. The genus two class of graphs arising from rings. J. Algebra Appl., 10.1142/S0219498818501931.
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  18. Asir, T. and T.T. Chelvam, 2017. Genus of total graphs of commutative rings: A survey. Electro. Notes Disc. Math., 63: 59-68.
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  19. Chelvam, T.T. and T. Asir, 2016. Distances in zero-divisor and total graphs from commutative rings–A survey. AKCE Int. J. Graphs Comb., 13: 290-298.
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  20. Asir, T. and T.T. Chelvam, 2014. On the genus of generalized unit and unitary Cayley graphs of a commutative ring. Acta Math. Hung., 142: 444-458.
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  21. Chelvam, T.T. and T. Asir, 2013. The intersection graph of gamma sets in the total graph of a commutative ring-I. J. Algebra Appl., 10.1142/S0219498812501988.
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  22. Chelvam, T.T. and T. Asir, 2013. On the genus of the total graph of a commutative ring. Commun. Algebra, 41: 142-153.
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  23. Chelvam, T.T. and T. Asir, 2013. Domination in the total graph of a commutative ring. J. Combin. Math. Combin. Comput, 87: 147-158.
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  24. Asir, T. and T.T. Chelvam, 2013. On the total graph and its complement of a commutative ring. Commun. Algebra, 41: 3820-3835.
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  25. Chelvam, T.T. and T. Asir, 2012. Intersection graph of gamma sets in the total graph. Discussiones Math. Graph Theory, 32: 341-356.
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  26. Chelvam, T.T. and T. Asir, 2012. Graphs with constant sum of domination and inverse domination numbers. Int. J. Combin., 10.1155/2012/831489.
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  27. Chelvam, T.T. and T. Asir, 2011. Domination in Total Graph on Zn, Discrete Mathematics. Algorithms Appl., 3: 1-9.
  28. Chelvam, T.T. and T. Asir, 2011. A note on total graph of Zn. J. Discrete Math. Sci. Cryptography, 14: 1-7.