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 »
 Academic Background »
 M.Sc. from Gauhati University.
 Ph.D from IIT Guwahati.

Thesis Title »
 Spectra of Weighted Directed Graphs.

Research Interest »
 Algebraic Graph Theory: Linear Algebra and its Applications to Graph Theory, Adjacency and Laplacian Spectra of Graphs.

List of Publications »
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 (MI549/MS549), MathematicsI (MI/MD101) 
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  D. Kalita & K.Sarma  Minimizing algebraic connectivity over graphs made with given blocks,
Linear and Multilinear Algebra, accepted. 
2018 