Research Interests

Algebraic and Spectral Graph Theory, Coding Theory, Combinatorics, Linear Algebra, Graph Theory, Combinatorial Matrix Theory

Current Projects

I have been working on multiple problems involving signed graphs, eccentricity matrices, Moore-Penrose inverses, combinatorial codes etc. If you are interested to collaborate with me, please feel free to email me.

My talk at New York Combinatorics Seminar on March 22, 2024:

- Sudipta Mallik,
*An extension of determinant and its application to fractional perfect matchings of a graph.*(under review) - Sudipta Mallik and Bahattin Yildiz,
*Codes from incidence matrices of hypergraphs.*, arXiv:2201.06733. (under review) - Abdullah Alazemi, Milica Andelic, and Sudipta Mallik,
*Signed graphs and inverses of their incidence matrices,*Linear Algebra and its Applications 694 (2024) 78-100. - Sudipta Mallik,
*Matrix tree theorem for the net Laplacian matrix of a signed graph*Linear and Multilinear Algebra (2023) https://doi.org/10.1080/03081087.2023.2172544. - Jerad Ipsen and Sudipta Mallik,
*Incidence and Laplacian matrices of wheel graphs and their inverses*, American Journal of Combinatorics 2 (2023) 1-19. - Sudipta Mallik,
*A new formula for the minimum distance of an expander code*, J. Algebra Comb. Discrete Appl. 9(2) (2022) 79-84. - Sudipta Mallik,
*New formulations of the union-closed sets conjecture*, American Journal of Combinatorics 1 (2022) 40-46. - Ryan Hessert and Sudipta Mallik,
*The inverse of the incidence matrix of a unicyclic graph*, Linear and Multilinear Algebra (2022). - Sudipta Mallik and Bahattin Yildiz,
*Isodual and self-dual codes from graphs*, Algebra and Discrete Mathematics 32(1) (2021) 49-64. - Ryan Hessert and Sudipta Mallik,
*Moore-Penrose inverses of the signless Laplacian and edge-Laplacian of graphs*, Discrete Mathematics 344 (2021) 112451. - Sudipta Mallik and Bahattin Yildiz,
*Graph theoretic aspects of minimum distance and equivalence of binary linear codes*, Australasian Journal of Combinatorics 79(3)(2021) 515-526. - Sudipta Mallik and Keivan Hassani Monfared,
*An analog of matrix tree theorem for signless Laplacians*, Linear Algebra and its Applications 560 (2019) 43-55. - Sudipta Mallik and Keivan Hassani Monfared,
*Spectral characterization of matchings in graphs*, Linear Algebra and its Applications 496 (2016) 407-419. - Sudipta Mallik and Bryan L. Shader,
*On graphs of minimum skew rank 4*, Linear and Multilinear Algebra 64 (2016) 279-289. - Sudipta Mallik and Bryan L. Shader,
*Integrally normalizable matrices with respect to a given set*, Linear Algebra and its Applications 498 (2016) 317-325. - Sudipta Mallik and Keivan Hassani Monfared,
*The maximum multiplicity of an eigenvalue of symmetric matrices with a given graph*, http://arxiv.org/abs/1601.02760 (2016). - Sudipta Mallik and Keivan Hassani Monfared,
*Construction of real skew-symmetric matrices from interlaced spectral data, and graph*, Linear Algebra and its Applications 471 (2015) 241-263. - Sudipta Mallik and Bryan L. Shader,
*Classes of graphs with minimum skew rank 4*, Linear Algebra and its Applications 439 (2013) 3643-3657. - Sudipta Mallik,
*Alternative proofs on the indices of cacti and unicyclic graphs with n vertices*, http://arxiv.org/abs/1110.2571 (2011).

- S. Barik, S. Mallik, and S. U. Reddy,
*Complex Laplacians and their Moore-Penrose inverses.* - S. Mallik and S. Sivasubramanian,
*Generalizing a conjecture of Graham and LovĂˇsz concerning unimodality of coefficients of the distance characteristic polynomial.* - Sudipta Mallik and Hiranmoy Pal,
*State transfers on signed graph revisited.* - M. Rajesh Kannan, Iswar Mahato, and Sudipta Mallik,
*On maximum spectral radius of the eccentricity matrix of a tree.*