Welcome to Department of Mathematics
logo

Mail Us
mathoff[AT]iitg.ac.in

Call Us
+91-361-2582650

K.V. Krishna

Professor Ph.D. (IIT Delhi)

+91 (0)361 258 2605    kvk ◊ iitg ⋅ ac ⋅ in

Research Area: General Algebra, Theoretical Computer Science
Room No: E-208
Personal Website | IRINS Profile

Department Responsibilities:
External, Associate Dean, Academic Affairs, PG

Research

  • General Algebra 
  • Theoretical Computer Science

Experience

  • Joined the department in Nov 2006.

Journal Publications

15. Gayatri Panicker, K. V. Krishna and Purandar Bhaduri, "On the structure of C-algebras through atomicity and if-then-else", Algebra Universalis , vol.81 (2) ,pp.Article-22 [2020] , DOI:10.1007/s00012-020-0648-7

14. Gayatri Panicker, K. V. Krishna and Purandar Bhaduri, "Monoids of non-halting programs with tests", Algebra Universalis , vol.Paper-8, 79 (1) [2018] , DOI:10.1007/s00012-018-0490-3

13. Ramesh Prasad Panda and K. V. Krishna, "On the minimum degree, edge-connectivity and connectivity of power graphs of finite groups", Communications in Algebra , vol.46 (7) ,pp.3182-3197, [2018] , DOI:10.1080/00927872.2017.1407424.

12. Ramesh Prasad Panda and K. V. Krishna, "On connectedness of power graphs of finite groups.", Journal of Algebra and Its Applications , vol.17 (10) ,pp.1850184-1-1850184-20, [2018] , DOI: 10.1142/S0219498818501840.

11. Gayatri Panicker, K. V. Krishna and Purandar Bhaduri, "Axiomatization of if-then-else over possibly non-halting programs and tests", Internat. J. Algebra Comput , vol.27 (3) ,pp.273-297, [2017] , DOI:10.1142/S0218196717500138

10. Shubh Narayan Singh and K. V. Krishna, "The Holonomy Decomposition of some Circular Semi-Flower Automata.", Acta Cybernetica , vol.22 (4) ,pp.791-805, [2016] , DOI:10.14232/actacyb.22.4.2016.4.

9. Jitender Kumar and K. V. Krishna, "Rank Properties of the Semigroup Reducts of Affine Near-Semirins over Brandt Semigroups", Semigroup Forum, , vol.93 (3) ,pp.516-534, [2016] , DOI:10.1007/s00233-016-9826-5

8. Jitender Kumar and K.V. Krishna, "Syntactic Semigroup Problem for the Semigroup Reducts of Affine Near-semirings over Brandt Semigroups", Asian-European Journal of Mathematics , vol.9 (1) ,pp.1650021-1-650021-10, [2016]

7. Jitender Kumar and K. V. Krishna, "The Large Rank of a Finite Semigroup using Prime Subsets.", Semigroup Forum , vol.89 (2) ,pp.403-408, [2014]

6. Jitender Kumar and K. V. Krishna, "Affine Near-Semirings over Brandt Semigroups", Communications in Algebra , vol.42 (12) ,pp.5152-5169, [2014]

5. Shubh Narayan Singh and K. V. Krishna, "A Sufficient Condition for the Hanna Neumann Property of Submonoids of a Free Monoid", Semigroup Forum , vol.86 (3) ,pp.537-554, [2013]

4. Shubh Narayan Singh and K. V. Krishna, "The rank and Hanna Neumann property of some submonoids of a free monoid", Ann. Math. Inform. , vol.40 ,pp.113-123, [2012]

3. K. V. Krishna and N. Chatterjee, "Representation of Near-Semirings and Approximation of Their Categories.", Southeast Asian Bulletin of Mathematics. , vol.31 (5) ,pp.903-914, [2007]

2. K. V. Krishna and N. Chatterjee, "Holonomy Decomposition of Seminearrings, Southeast Asian Bulletin of Mathematics.", Southeast Asian Bulletin of Mathematics. , vol.31 (6) ,pp.1113-1122, [2007]

1. K. V. Krishna and N. Chatterjee, "A Necessary Condition to Test the Minimality of Generalized Linear Sequential Machines Using the Theory of Near-Semirings.", Algebra and Discrete Mathematics. , vol.3 ,pp.30-45, [2005]

Conference Publications

6. Shubh Narayan Singh and K. V. Krishna, "On Syntactic Complexity of Circular Semi-flower Automata.", In Implementation and Application of Automata. CIAA 2018, volume 10977 of Lecture Notes in Computer Science,Springer, 2018 ,pp.312-323, [2018] , DOI:10.1007/978-3-319-94812-6_26.

5. Shubh Narayan Singh and K. V. Krishna, "L-Primitive Words in Submonoids of a Free Monoid.", In Recent Advances in Mathematics, Statistics and Computer Science, World Scientific ,pp.322-330, [2016] , DOI:10.1142/9789814704830_0029

4. Jitender Kumar and K. V. Krishna., "Radicals and ideals of affine near-semirings over brandt semigroups", In P. G. Romeo, J. C. Meakin, and A. R. Rajan, editors, Semigroups, Algebras and Operator Theory, volume 142 of Springer Proceedings in Mathematics & Statistics, Springer India. , vol.142 ,pp.123-133, [2015]

3. K. V. Krishna and V. T. K. Pramod, "Towards Shortest Synchronizing Words in Polynomial Time.", In Proceedings of the 13th International Conference on Automata and Formal Languages (AFL'11), Debrecen, Hungary. ,pp.358-367, [2011]

2. K. V. Krishna, "On Directing Sequences of Reset Automata.", In proceedings of International Conference on Recent Advances in Mathematical Sciences and Applications (RAMSA '09), Visakhapatnam. ,pp.209-214, [2009]

1. K. V. Krishna and P. Bhaduri, "Towards Holonomy Decomposition of Process Algebras.", In Proceedings of the National Conference on Innovative Computational Intelligence-08 (NCICI'08), Chennai. ,pp.242-249, [2008]

Current

1 Khyodeno Mozhui
2 Sagar Saha
3 Soni Kumari (Part Time)
4 Tithi Dwary

Completed

1 Shubh Narayan Singh
2 Jitender Kumar
3 Gayatri Panicker
4 Ramesh Prasad Panda

1. Video Course: Formal Languages and Automata Theory
Funding Agency : The Ministry of Human Resource Development, Govt. of India
Principal Investigator: K.V. Krishna
Co-investigator: Dr. Diganta Goswami
Duration/Starting Year: 2009
Status: Completed

No Project Available!

No Data Available!