Published:
- The weak version of the graph complement conjecture and partial results for the delta conjecture, Discrete Mathematics, Vol. 349, Issue 3, 114861 (2026), F. Barioli, S. Fallat, H. Gupta, and Z. Li.
(https://doi.org/10.1016/j.disc.2025.114861, arXiv) - Inverse eigenvalue problem for Laplacian matrices of a graph, SIAM Journal on Matrix Analysis and Applications, Vol. 46, Issue 3, 1866-1886 (2025), S. Fallat, H. Gupta, and J. C.-H. Lin
(https://doi.org/10.1137/24M1714472, arXiv) - Positivity preservers over finite fields, Journal of Algebra, Vol. 684, 479-523 (2025), D. Guillot, H. Gupta, P. K. Vishwakarma, and C. H. Yip.
(https://doi.org/10.1016/j.jalgebra.2025.07.016, arXiv) - Sufficient conditions for total positivity, compounds, and Dodgson condensations, Linear Algebra and its Applications, Vol. 709, 189-202 (2025), S. Fallat, H. Gupta, and C. R. Johnson. (https://doi.org/10.1016/j.laa.2025.01.016, arXiv)
- On the eigenvalues of the graphs D(5,q), Finite Fields and Their Applications, Vol. 94, 102358 (2024), H. Gupta and V. Taranchuk.
(https://doi.org/10.1016/j.ffa.2023.102358, arXiv) - The least Euclidean distortion constant of a distance-regular graph, Discrete Applied Mathematics, Vol. 325, 212-225 (2023), S. Cioaba, H. Gupta, F. Ihringer, and H. Kurihara.
(https://doi.org/10.1016/j.dam.2022.10.014, arXiv) - Construction of cospectral graphs with different zero forcing numbers, The Electronics Journal of Linear Algebra, Vol. 38, 280-294 (2022), A. Abiad, B. Brimkov, J. Breen, T. R. Cameron, H. Gupta, and R. R. Villagran.
(https://doi.org/10.13001/ela.2022.6737, arXiv) - On the eigenvalues of Grassmann graphs, bilinear forms graphs and Hermitian forms graphs, Graphs and Combinatorics, 38, Article number: 30 (2022), S. Cioaba and H. Gupta.
(https://doi.org/10.1007/s00373-021-02445-z, arXiv)
Submitted:
- On the second largest eigenvalue of certain graphs in the perfect matching association scheme, (2025), H. Gupta, A. Herman, A. Lacaze-Masmonteil, R. Maleki, and K. Meagher.
(arXiv) - Entrywise transforms preserving matrix positivity and non-positivity, (2025), D. Guillot, H. Gupta, P. K. Vishwakarma, and C. H. Yip.
(arXiv) - Minimum number of distinct eigenvalues of distance-regular and signed Johnson graphs, (2025), S. Fallat, H. Gupta, A. Herman, and J. Parenteau.
(arXiv)
Conference Proceedings:
- Entrywise transforms and positive definite matrices over finite fields, Séminaire Lotharingien de Combinatoire 93(B), Article #69, 12pp. (2025), D. Guillot, H. Gupta, P. K. Vishwakarma, and C. H. Yip.
(Proceedings of the 37th conference on Formal Power Series and Algebraic Combinatorics, Sapporo, pdf)
Theses:
- Algebraic, Geometric, and Spectral Properties of Regular Graphs, Ph.D. thesis, University of Delaware, Newark, USA (2023).
(Algebraic, Geometric, and Spectral Properties of Regular Graphs) - Correlation Functions in the Finite Toom Model, M.S. thesis, Indian Institute of Science, Bangalore, India (2018).
(Correlation Functions in the Finite Toom Model)
Collaborators (including work in Progress):
Aida Abiad (1), Francesco Barioli (1), Boris Brimkov (1), Jane Breen (1), Thomas R. Cameron (1), Minerva Catral, Sebastian Cioaba (2), Shaun Fallat (4), Dominique Guillot (3), Allen Herman (2), Leslie Hogben, Ferdinand Ihringer (1), Charles R. Johnson (1), Hirotake Kurihara (1), Alice Lacaze-Masmonteil (1), Zhongshan Li (1), Jephian C.-H. Lin (1), Roghayeh Maleki (1), Karen Meagher (1), Johnna Parenteau (1), Bryan Shader, Vladislav Taranchuk (1), Ralihe R. Villagran (1), Prateek Kumar Vishwakarma (3), Tony Wang, Chi Hoi Yip (3)
