Bhaba Kumar Sarma

Department of Mathematics

Indian Institute of Technology Guwahati

Research

Research Interests:

Combinatorial Matrix Theory (Graph Spectra, Matrix Completion Problems)

Finite Fields and applications in Cryptography

Publications:

Linear Algebra / Combinatorial Matrix Theory:

  • The nonnegative Q-matrix completion problem, J. Algebra Comb. Discrete Struct. Appl., 4(1), (2017), 61-74 (with
    Kalyan Sinha).

  • The P_0^+-matrix completion problem, Electron. J. Linear Algebra, 29 (2015) 120-143 (with Kalyan Sinha).

  • The positive Q-matrix completion problem, Discrete Mathematics, Algorithms & Applications, 7(4) (2015), 1550052, 19 pp. (with Kalyan Sinha) .

  • The Q-matrix completion problem, Electron. J. Linear Algebra, 18 (2009) 176-191 (with Luz Maria DeAlba and Leslie Hogben).

  • Minimal configuration unicyclic graphs, to appear in Linear and Multilinear Algebra, 57(2009) 19-27 (with M. Nath).

  • Unicyclic graphs with the strong reciprocal eigenvalue property, Electron. J. Linear Algebra, 17 (2008) 139-153 (with S. Barik, M. Nath and S. Pati).

  • The spectrum of the corona of two graphs. SIAM J. Discrete Math. 21 (2007), no. 1, 47-56 (electronic) (with S. Barik and S. Pati).

  • On the null-spaces of acyclic and unicyclic singular graphs, to appear in  Linear Algebra Appl. 427 (2007) 42-54 (with M. Nath).

  • Column ranks and their preservers over nonnegative real matrices. Linear Algebra Appl. 399 (2005), 3-16. (with LeRoy B.Beasley, Seok-Zun Song  and Kyung-Tae Kang).

Finite Fields & Cryptography:

  • Poly-Dragon: an efficient multivariate public key cryptosystem, J. Math. Cryptology, Volume 4, Number 4, (2011) 349-364 (with R.P. Singh and A. Saikia)

  • Little Dragon two: an efficient multivariate public key cryptosystem, International Journal of Network Security and its Applications (IJNSA), Volume 2, Number 2 (2010) (with R.P. Singh and A. Saikia).

O lder Publications:

  • Weak and strong fuzzy homomorphisms of groups. J. Fuzzy Math. 12 (2004), no. 2, 357--368 (with Tazid Ali).

  • Solvable fuzzy groups. Fuzzy Sets and Systems 106 (1999), no. 3, 463--467.

  • Nilpotent fuzzy groups. Fuzzy Sets and Systems 101 (1999), no. 1, 167--176 (with K.C. Gupta).

  • Commutator fuzzy groups. J. Fuzzy Math. 4 (1996), no. 3, 655--663 (with K.C. Gupta).

  • Operator domains on fuzzy groups. Inform. Sci. 84 (1995), no. 3-4, 247--259 (with K.C. Gupta).

  • Conormal fuzzy groups. Fuzzy Sets and Systems 56 (1993), no. 3, 317--322 (with K.C. Gupta).

My PhD Students:

Milan Nath (2007): Certain aspects of spectra of unicyclic graphs.

Rajesh Pratap Singh (2010): Permutation polynomials and their applications in cryptography.

Kalyan Sinha (2015):  On completion problems for some classes of matrices.  

Sabyasachi Mandal (pursuing)         

For a list of my MSc & BTech Project students Click Here .

 

A selected list of Conferences attended:

  • Joint AMS-INDIA Meeting, IISc, Bangalore, 17-20 December, 2003.

  • AMS Sectional Meeting, Lincoln, Nebraska, USA, 21-23 October, 2005.

  • International Congress of Mathematicians (ICM 2006), Madrid, Spain, 22-30 August, 2006.

  • 10th International Conference on Finite Fields and their Applications, Ghent, Belgium, 11-15 July, 2011.

  • International Congress on Mathematical Education (ICME 2012), Seoul, South Korea, 8-15 July, 2012.

  • 38th Australasian Conference on Combinatorial Math. and Combinatorial Computing, Wellington,
    New Zealand, 1-5 December, 2014.

Research Level Conference/Workshop Organized:

  • Instructional Workshop and International Conference on Geometric Group Theory, IIT Guwahati,
    2-21 December 2002 (Member, Organizing Committee).

  • Instructional Workshop on Algebraic Graph Theory, IIT Guwahati, 9-18 December, 2004 (as Coordinator).