Himanshu Gupta

Research

My research interests include Algebraic Combinatorics, Combinatorial Matrix Theory, Spectral Graph Theory, Discrete Probability, Markov Chains and Theoretical Computer Science. See also my Google Scholar page.

PreprintsJournal PublicationsConference ProceedingsThesesCollaboratorsGrants and Awards

Preprints

  1. Burning signed graphs. S. Fallat, H. Gupta, K. Khodamoradi and S. Zilles. arXiv:2610.02506
  2. Positivity preservers over finite fields II. D. Guillot, H. Gupta, P. K. Vishwakarma and C. H. Yip. arXiv:2608.18978
  3. The strong spectral property and the Jacobian method for weighted Laplacian matrices. M. Catral, S. Fallat, H. Gupta and J. C.-H. Lin. arXiv:2602.18999
  4. The inverse symplectic eigenvalue problem of a graph. H. Gupta, L. Hogben, B. Shader and T. Wong. arXiv:2601.11912
  5. Minimum number of distinct eigenvalues of distance-regular and signed Johnson graphs. S. Fallat, H. Gupta, A. Herman and J. Parenteau. arXiv:2411.00250

Journal Publications

  1. On the second largest eigenvalue of certain graphs in the perfect matching association scheme. H. Gupta, A. Herman, A. Lacaze-Masmonteil, R. Maleki and K. Meagher. Electronic Journal of Combinatorics 33(3), P3.39, 2026. DOI
  2. Entrywise transforms preserving matrix positivity and non-positivity. D. Guillot, H. Gupta, P. K. Vishwakarma and C. H. Yip. Journal of the London Mathematical Society 113(5), e70560, 2026. DOI
  3. The weak version of the graph complement conjecture and partial results for the delta conjecture. F. Barioli, S. Fallat, H. Gupta and Z. Li. Discrete Mathematics 349(3), 114861, 2026. DOI
  4. Inverse eigenvalue problem for Laplacian matrices of a graph. S. Fallat, H. Gupta and J. C.-H. Lin. SIAM Journal on Matrix Analysis and Applications 46(3), 1866 to 1886, 2025. DOI
  5. Positivity preservers over finite fields. D. Guillot, H. Gupta, P. K. Vishwakarma and C. H. Yip. Journal of Algebra 684, 479 to 523, 2025. DOI
  6. Sufficient conditions for total positivity, compounds, and Dodgson condensations. S. Fallat, H. Gupta and C. R. Johnson. Linear Algebra and its Applications 709, 189 to 202, 2025. DOI
  7. On the eigenvalues of the graphs D(5,q). H. Gupta and V. Taranchuk. Finite Fields and Their Applications 94, 102358, 2024. DOI
  8. The least Euclidean distortion constant of a distance-regular graph. S. Cioabă, H. Gupta, F. Ihringer and H. Kurihara. Discrete Applied Mathematics 325, 212 to 225, 2023. DOI
  9. Constructions of cospectral graphs with different zero forcing numbers. A. Abiad, B. Brimkov, J. Breen, T. R. Cameron, H. Gupta and R. R. Villagran. Electronic Journal of Linear Algebra 38, 280 to 294, 2022. DOI
  10. On the eigenvalues of Grassmann graphs, bilinear forms graphs and Hermitian forms graphs. S. Cioabă and H. Gupta. Graphs and Combinatorics 38, Article 30, 2022. DOI

Conference Proceedings

  1. Entrywise transforms and positive definite matrices over finite fields. D. Guillot, H. Gupta, P. K. Vishwakarma and C. H. Yip. Séminaire Lotharingien de Combinatoire 93B, Article 69, 2025. (FPSAC 2025, Sapporo)

Theses

Collaborators

Aida Abiad (1), Francesco Barioli (1), Boris Brimkov (1), Jane Breen (1), Thomas R. Cameron (1), Minerva Catral (1), Sebastian Cioabă (2), Shaun Fallat (6), Dominique Guillot (4), Allen Herman (2), Leslie Hogben (1), Ferdinand Ihringer (1), Charles R. Johnson (1), Kamyar Khodamoradi (1), Hirotake Kurihara (1), Alice Lacaze-Masmonteil (1), Zhongshan Li (1), Jephian C.-H. Lin (2), Roghayeh Maleki (1), Karen Meagher (1), Johnna Parenteau (1), Bryan Shader (1), Vladislav Taranchuk (1), Ralihe R. Villagran (1), Prateek Kumar Vishwakarma (4), Tony Wong (1), Chi Hoi Yip (4), Sandra Zilles (1)

Grants and Awards