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Welcome to my homepage!
    Dr.Debajit Kalita
  • Assistant Professor.
  • Department of Mathematical Sciences.
  • Tezpur University.
  • Tezpur- 784028.
    Email: k.debajit@gmail.com/ kdebajit@tezu.ernet.in

  • Teaching »

    • Year Semester Courses
    2011 Spring Mathematics-I (MI101)
    2012Spring Graph Theory (MS549), Mathematics-II (B.Tech: MS103)
    Autumn Graph Theory (MI 405), Mathematics-I (MI101)
    2013Spring Discrete Mathematics (MS550/MI550), Mathematics-II (B.Tech: MS103)
    AutumnGraph Theory (MI 405), Mathematics-I (MI101)
    2014Spring Discrete Mathematics (MI550), Mathematics-II (B.Tech: MS103)
    AutumnGraph Theory (MI 405), Mathematics-I (MI101)
    2015Spring Elementary Real Analysis (MI 216), Discrete Mathematics (MI550)
    AutumnGraph Theory (MI405), Mathematics-I (MI101)
    2016Spring Elementary Real Analysis (MI 216), Elementary Complex Analysis (MI 312).
    Autumn Coordinate Geometry (MI207), Mathematics-I (MI/MD101)
    2017Spring Elementary Real Analysis (MI/MD 216).
    Autumn Graph Theory (MI405/MS549), Mathematics-I (MI/MD101)
    2018Spring Elementary Real Analysis (MI/MD 216).
    Autumn Graph Theory (MI405/MS549), Mathematics-I (MI/MD101)
    2019Spring Elementary Real Analysis (MI/MD 216), Mathematics-II (MI/MD102).
    Autumn Graph Theory (MI405)
    2020Spring Introductory Topology (MI226), Mathematical Programming (MI504/MS510).
    Autumn Graph Theory (MI319/MI405), Mathematics-I (MI/MD101), Nonnegative Matrix Theory (MS765)
    2021 Spring Introductory Topology (MI226/MD318), Introduction to Optimization (MI316).
    Autumn Graph Theory (MI319/MI405), Research Methodology (MS750), Nonnegative Matrix Theory (MS765).

    • Academic Background »

      • M.Sc. from Gauhati University.
      • Ph.D from IIT Guwahati.

    • Thesis Title »

      • Spectra of Weighted Directed Graphs.

    • Research Interest »

      • Algebraic Graph Theory: Algebra and its Applications to Graph Theory

    • Ph.D Students »

      • Kuldeep Sarma (Degree awarded).
      • Md. Ishteyak Zaffar (ongoing)
      • Sayantani Bhattacharya (ongoing, Jointly with Prof. M. Nath)
      • Parameswar Basumatary(ongoing)

    • List of Publications »

      • S.No. Author(s) Article Year
      1 R. B. Bapat, D. Kalita
      & S. Pati
      		 On Weighted Directed Graphs,
      Linear Algebra and Its Applications, 436, 99-111.
      		 2012
      2 D. Kalita On 3-colored Digraphs with Exactly One Nonsingular Cycle,
      Electronic Journal of Linear Algebra, 60, 743-756.
      		 2012
      3 D. Kalita & S. Pati On the Spectrum of 3-coloured Digraphs,
      Linear and Multilinear Algebra, 23, 397-421.
      		 2012
      4 D. Kalita Spectral Integral Variation and Unicyclic 3-colored Digraphs with Second Smallest Eigenvalue 1,
      Linear Algebra and Its Applications, 439, 55-65.
      		 2013.
      5 D. Kalita Determinant of the Laplacian Matrix of Weighted Directed Graphs,
      Combinatorial matrix theory and generalized inverses of matrices, Springer, 6, 57-62.
      		 2013
      6 D. Kalita Algebraic Connectivity of lollipop graph: a new approach,
      Discrete Mathematics, Algorithms and Applications, 6, 1450028-33.
      		 2014
      7 D. Kalita & S. Pati Reciprocal Eigenvalue Property for Unicyclic Weighted Directed Graphs with Weights from {±1,±i},
      Linear Algebra and Its Applications, 449, 417-434.
      		 2014
      8 D. Kalita Properties of first eigenvectors and first eigenvalues of nonsingular weighted directed graphs,
      Electronic Journal of Linear Algebra, 30, 227-242.
      		 2015
      9 D. Kalita Extremizing first eigenvalue of 3-colored digraphs made with given blocks,
      Linear Algebra and Its Applications, 503, 83-99.
      		 2016
      10 R. B. Bapat, D. Kalita,
      M. Nath, & D. Sarma,
      		 Convex and quasiconvex functions on trees and their applications,
      Linear Algebra and Its Applications, 533, 210-234 .
      		 2017
      11 S. Barik, D. Kalita, S. Pati & G.Sahoo Spectra of graphs resulting from various graph operations and products: a survey,
      Special Matrices, 6, 323-342.
      		 2018
      12 D. Kalita & K.Sarma Minimizing algebraic connectivity over graphs made with given blocks,
      Linear and Multilinear Algebra, 67, 911-925.
      		 2019
      13 D. Kalita & K.Sarma Inverses of non-bipartite unicyclic graphs with a unique perfect matching,
      Linear and Multilinear Algebra, accepted.
      		 2020
      14 D. Kalita Skewed Converse and Laplacian Spectral Radius of Weighted Directed Graphs,
      Indian Journal of Pure and Applied Mathematics, 52(4), 1145-1153.
      		 2021
      15 D. Kalita & K. Sarma On the inverse of unicyclic 3-coloured digraphs,
      Linear and Multilinear Algebra, accepted.
      		 2021
      16 D. Kalita & K. Sarma On Unicyclic non-bipartite graphs with tricyclic inverses,
      Linear and Multilinear Algebra, accepted.
      		 2022
      17 D. Kalita & K. Sarma Unicyclic 3-colored digraphs with bicyclic inverses,
      Electronic Journal of Linear Algebra, 38, 519-530.
      		 2022

      Reviewing Experience: »
      • Served as a Referee of research articles for:
        • Electronic Journal of Combinatorics.
        • Linear Algebra and its Applications.
        • Linear and Multilinear Algebra.
        • Applicable Analysis and Discrete Mathematics.
        • Electronic Journal of Linear Algebra.
        • Special Matrices.

      Research Project:

    • MATRICS Funded by DST-SERB (March, 2019 to March 2022)