Publications

  1. (With Apoorva Khare.) The blowup-polynomial of a metric space: connections to stable polynomials, graphs and their distance spectra
     Canadian Journal of Mathematics, in press. [arXiv]
  2. (With Apoorva Khare.) Distance matrices of a tree: two more invariants, and in a unified framework
     European Journal of Combinatorics     115, Article #103787 (30 pp.), 2024. [arXiv]
  3. (With Raju Nandi.) Quadratic embedding constants of graphs: Bounds and distance spectra
    Linear Algebra and its Applications     680, pages 108-125, 2024. [arXiv]
  4. Total negativity: characterizations and single-vector tests
    Bulletin des Sciences Mathématiques     186, Article #103284 (21 pp.), 2023. [arXiv]
  5. (With Apoorva Khare.) Blowup polynomials and delta-matroids of graphs
         Séminaire Lotharingien de Combinatoire 86B, Article #42, 2022. [arXiv]
  6. Characterizing total positivity: single vector tests via Linear Complementarity, sign non-reversal, and variation diminution
     Bulletin of the London Mathematical Society     54, pages 891-911, 2022. [arXiv]
  7. (With K.C. Sivakumar.) Nesbitt and Shapiro Cyclic Sum Inequalities for Positive Definite Matrices
    Advances in Operator Theory     7, article 7 (11 pp.), 2022. [arXiv]
  8. (With M. Rajesh Kannan and Apoorva Khare.) Sign non-reversal property for totally non-negative and totally positive matrices, and testing total positivity of their interval
         Bulletin of the London Mathematical Society 53, pages 981-990, 2021. [arXiv]
  9. (With M. Rajesh Kannan.) Interval hulls of N-matrices and almost P-matrices
    Linear Algebra and its Applications     617, pages 27-38, 2021. [arXiv]
  10. (With K.C. Sivakumar.) Matrices with positive semidefinite real
    Linear and Multilinear Algebra     69, pages 448-470, 2021.
  11. (With N. Eagambaram, K.C. Sivakumar and P. Sushmitha.) On the matrix class Q0 and inverse monotonicity properties of bordered matrices
    Linear Algebra and its Applications     612, pages 206-222, 2021.
  12. (With Michael J. Tsatsomeros.) Algorithmic Detection and Construction of N-matrices
    Linear Algebra and its Applications     602, pages 46-56, 2020. [arXiv]
  13. (With M. Rajesh Kannan and K.C. Sivakumar.) A note on linear preservers on semipositive and minimal semipositive matrices
    Electronic Journal of Linear Algebra     34, pages 687-694, 2018. [arXiv]
  14. (With M. Rajesh Kannan and K.C. Sivakumar.) New contributions to semipositive and minimally semipositive matrices
    Electronic Journal of Linear Algebra     34, pages 35-53, 2018.
  15. (With K.C. Sivakumar.) An extension of a matrix inequality of Thompson
    Linear Algebra and its Applications     535, pages 151-159, 2017.
  16. (With K.C. Sivakumar.) Trace inequalities for positive semidefinite matrices
    Discussiones Mathematicae - General Algebra and Applications     37, pages 93-104, 2017.
  17. (With K.C. Sivakumar.) Tucker's theorem for almost skew-symmetric matrices and a proof of Farkas' lemma
    Linear Algebra and its Applications     482, pages 55-69, 2015.
  18. (With Ar. Meenakshi and K.C. Sivakumar.) Almost definite matrices revisited
    Electronic Journal of Linear Algebra     29, pages 102-119, 2015.

Submitted articles

  1. (With Apoorva Khare.) The additive-multiplicative distance matrix of a graph, and a novel third invariant, preprint, 2023. [arXiv]
  2. (With Shivangi Yadav.) Sign regularity: Refinement of Gantmacher–Krein–Motzkin results on variation diminution and the linear preserver problem, preprint, 2023. [arXiv]
  3. (With Apoorva Khare.) Multivariate blowup-polynomials of graphs, preprint, 2021. [arXiv]