Feedback

Mukesh Kumar Nagar

Assistant Professor, Gr-I

Algebraic Combinatorics, Combinatorial Matrix theory, Graph Theory, Linear Algebra
Assistant Professor (PhD IITB)
A-424, Department of Mathematics
BITS Pilani, K.K Bilra Goa Campus
NH-17B, Zuarinagar-403726, Goa, India

Publications:

  1. Hook immanantal and Hadamard inequalities for q-Laplacians of trees. Linear Algebra and its Applications 523 (2017), 131–151 (with S. Sivasubramanian)
  2. Laplacian Immanantal polynomials and the GTS poset on Trees. Linear Algebra and its Applications 561 (2019), 1-23. (with S. Sivasubramanian)
  3. Eigenvalue monotonicity of q-Laplacians of trees along a poset. Linear Algebra and its Applications 571 (2019), 110-131.
  4. Generalized Matrix polynomials of Tree Laplacians indexed by Symmetric functions and the GTS poset, Seminaire Lotharingien de Combinatoire 83 (2021), Article B83a (with S. Sivasubramanian).
  5. Inequalities among two rowed immanants of the q-Laplacian of trees and odd height peaks in generalized Dyck paths. Journal of Difference Equations and Applications 28(2) (2022), 198–221 (with A. K. Lal and S. Sivasubramanian).
  6. The maximum four point condition matrix of a tree. Linear Algebra and its Applications 691, (2024), 133-150 (with Azimi A., Jana R., and S. Sivasubramanian).
  7. On the Min4PC Matrix of a Tree. American Journal of Combinatorics , 3, (2024), 13-21 (with Azimi A., Jana R., and S. Sivasubramanian).
  8. Four point condition matrices of edge weighted trees. Special Matrices , 12 (1), 2024, pp. 2024-0011 (with Azimi A., Jana R., and S. Sivasubramanian).