Dr. Shubh Narayan Singh

Assistant Professor

Qualification : PhD (Mathematics, IIT Guwahati)
Specialization: Semigroup Theory, Graph Theory, Automata Theory, Coding Theory
Experience :Teaching: 11 Years
Publications:
    • Khirabdhi, & Singh, S. N. (2023). Magnifiers in various semigroups of transformations that preserve a partition. Asian-European Journal of Mathematics. (In Press).
    • Sehgal, A. & Singh, S. N. (2023). The degree of a vertex in the power graph of a finite abelian group. Southeast Asian Bulletin of Mathematics. 47(2), 289 - 296.
    • Singh, S. N. (2022). On synchronization of circular semi-flower automata. Advances and Applications in Mathematical Sciences, 21(10), 5853 - 5863.
    • Sarkar, M. & Singh, S. N. (2022). Regular and unit-regular elements in various monoids of transformations. Journal of Algebra and Its Applications.                https://doi.org/10.1142/S0219498823502444
    • Sarkar, M. & Singh, S. N. (2022). Comments on “Semigroups of transformations whose restrictions whose restrictions belong to a given semigroup”, Semigroup Forum, 104(3), 758-759. https://doi.org/10.1007/s00233-022-10278-2
    • Sarkar, M. & Singh, S. N. (2022). Regular, unit-regular, and idempotent elements of semigroups of transformations that preserve a partition. Semigroup Forum, 104(1), 148-165. https://doi.org/10.1007/s00233-021-10238-2
    • Sarkar, M. & Singh, S. N. (2021). On certain semigroups of transformations that preserve a partition. Communications in Algebra, 49(1), 331-342. https://doi.org/10.1080/00927872.2020.1799224
    • Sarkar, M. & Singh, S. N. (2022). On certain semigroups of transformations with an invariant set. Asian-European Journal of Mathematics, 15(11), 250198. https://doi.org/10.1142/S1793557122501984
    • Singh, S. N. (2022). Laplacian spectra of power graphs of certain prime-power abelian groups. Asian-European Journal of Mathematics, 15(2), 2250026. https://doi.org/10.1142/S1793557122500267
    • Singh, S. N. & Krishna, K. V. (2016). The holonomy decomposition of some circular semi-flower automata. Acta Cybernetica, 22(4), 81-95. https://doi.org/10.14232/actacyb.22.4.2016.4
    • Singh, S. N. & Krishna, K. V. (2013). A sufficient condition for the Hanna Neumann property of submonoids of a free monoid. Semigroup Forum, 86(3), 537-554. https://doi.org/10.1007/s00233-012-9449-4
    • Singh, S. N. & Krishna, K. V. (2012). The rank and Hanna Neumann property of some submonoids of a free monoid. Annales Mathematicae et Informaticae, 40, 113-123.
Books
    Singh, M. K. & Singh, S. N. (2022). Group Theory-I (UGC-CBCS). S. Chand Publishing, New Delhi, India. ISBN: 9789355011619

Research Highlights

Full Publication List

Publications:
  • Shubh Narayan Singh and K.V. Krishna. A sufficient condition for the Hanna Neumann property of submonoids of a free monoid, Semigroup Forum, 86(3), 537—554, 2013.
  • Shubh Narayan Singh and K.V. Krishna. The rank and Hanna Neumann property of some submonoids of a free monoid, Ann. Math. Inform., 40, 113-123, 2012.
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