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Welcome to my homepage!
    Dr.Debajit Kalita
  • Associate 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).
    2022 Spring Real Analysis-II(MI/MD 104), Introductory Topology (MI226/MD318).
    Autumn Real Analysis-I (MI/MD 105), Graph Theory (MI319/MS549).
    2023 Spring Real Analysis-II(MI/ MD104), Introductory Topology (MI226/MD318).
    Autumn Real Analysis-I (MI/MD 105), Graph Theory (MI319/MS549).
    2024 Spring Real Analysis-II(MI/ MD104), Introduction to Optimization (MI316), Introductory Topology (MI226/MD318).
    Autumn Analysis-I (MSIN203), Graph Theory (MI319/MS549).

    • 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, Currently NBHM Post Doctoral fellow at IISc. Banglore).
      • Md. Ishteyak Zaffar (ongoing)
      • Parameswar Basumatary (ongoing)
      • Sangeeta Sarmah (ongoing)
      • Sudeepta Ganguly (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 Skewed Converse and Laplacian Spectral Radius of Weighted Directed Graphs,
      Indian Journal of Pure and Applied Mathematics, 52(4), 1145-1153.
      		 2021
      14 D. Kalita & K.Sarma Inverses of non-bipartite unicyclic graphs with a unique perfect matching,
      Linear and Multilinear Algebra, 70, 2765-2781.
      		 2022
      15 D. Kalita & K. Sarma On the inverse of unicyclic 3-coloured digraphs,
      Linear and Multilinear Algebra, 70, 6223-6239.
      		 2022
      16 D. Kalita & K. Sarma Unicyclic 3-colored digraphs with bicyclic inverses,
      Electronic Journal of Linear Algebra, 38, 519-530.
      		 2022
      17 D. Kalita & K. Sarma On Unicyclic non-bipartite graphs with tricyclic inverses,
      Linear and Multilinear Algebra, 71, 1378-1396.
      		 2023
      18 P. Basumatary & D. Kalita Spectral w-variation of trees in two places,
      Linear Algebra and its Applications, 718, 81-103.
      		 2025

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