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Dr.Debajit Kalita
 Assistant Professor.
 Department of Mathematical Sciences.
 Tezpur University.
 Tezpur 784028.
 Email: k.debajit@gmail.com/ kdebajit@tezu.ernet.in
 Teaching »
 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 »
 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.
 MATRICS Funded by DSTSERB (March, 2019 to March 2022)
Year  Semester  Courses 

2011  Spring  MathematicsI (MI101) 
2012  Spring  Graph Theory (MS549), MathematicsII (B.Tech: MS103) 
Autumn  Graph Theory (MI 405), MathematicsI (MI101)  
2013  Spring  Discrete Mathematics (MS550/MI550), MathematicsII (B.Tech: MS103) 
Autumn  Graph Theory (MI 405), MathematicsI (MI101)  
2014  Spring  Discrete Mathematics (MI550), MathematicsII (B.Tech: MS103) 
Autumn  Graph Theory (MI 405), MathematicsI (MI101)  
2015  Spring  Elementary Real Analysis (MI 216), Discrete Mathematics (MI550) 
Autumn  Graph Theory (MI405), MathematicsI (MI101)  
2016  Spring  Elementary Real Analysis (MI 216), Elementary Complex Analysis (MI 312). 
Autumn  Coordinate Geometry (MI207), MathematicsI (MI/MD101)  
2017  Spring  Elementary Real Analysis (MI/MD 216). 
Autumn  Graph Theory (MI405/MS549), MathematicsI (MI/MD101)  
2018  Spring  Elementary Real Analysis (MI/MD 216). 
Autumn  Graph Theory (MI405/MS549), MathematicsI (MI/MD101)  
2019  Spring  Elementary Real Analysis (MI/MD 216), MathematicsII (MI/MD102). 
Autumn  Graph Theory (MI405)  
2020  Spring  Introductory Topology (MI226), Mathematical Programming (MI504/MS510). 
Autumn  Graph Theory (MI319/MI405), MathematicsI (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). 
S.No.  Author(s)  Article  Year 

1  R. B. Bapat, D. Kalita & S. Pati 
On Weighted Directed Graphs, Linear Algebra and Its Applications, 436, 99111. 
2012 
2  D. Kalita  On 3colored Digraphs with Exactly One Nonsingular Cycle, Electronic Journal of Linear Algebra, 60, 743756. 
2012 
3  D. Kalita & S. Pati  On the Spectrum of 3coloured Digraphs,
Linear and Multilinear Algebra, 23, 397421. 
2012 
4  D. Kalita  Spectral Integral Variation and Unicyclic 3colored Digraphs with Second Smallest Eigenvalue 1,
Linear Algebra and Its Applications, 439, 5565. 
2013. 
5  D. Kalita  Determinant of the Laplacian Matrix of Weighted Directed Graphs,
Combinatorial matrix theory and generalized inverses of matrices, Springer, 6, 5762. 
2013 
6  D. Kalita  Algebraic Connectivity of lollipop graph: a new approach,
Discrete Mathematics, Algorithms and Applications, 6, 145002833. 
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, 417434. 
2014 
8  D. Kalita  Properties of first eigenvectors and first eigenvalues of nonsingular weighted directed graphs,
Electronic Journal of Linear Algebra, 30, 227242. 
2015 
9  D. Kalita  Extremizing first eigenvalue of 3colored digraphs made with given blocks,
Linear Algebra and Its Applications, 503, 8399. 
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, 210234 . 
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, 323342. 
2018 
12  D. Kalita & K.Sarma  Minimizing algebraic connectivity over graphs made with given blocks,
Linear and Multilinear Algebra, 67, 911925. 
2019 
13  D. Kalita & K.Sarma  Inverses of nonbipartite 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), 11451153. 
2021 
15  D. Kalita & K. Sarma  On the inverse of unicyclic 3coloured digraphs,
Linear and Multilinear Algebra, accepted. 
2021 
16  D. Kalita & K. Sarma  On Unicyclic nonbipartite graphs with tricyclic inverses,
Linear and Multilinear Algebra, accepted. 
2022 
17  D. Kalita & K. Sarma  Unicyclic 3colored digraphs with bicyclic inverses,
Electronic Journal of Linear Algebra, 38, 519530. 
2022 