Preprints:
- Inverse eigenvalue problem for Laplacian matrices of a graph (arXiv), (2024) with Shaun Fallat and Jephian C.-H. Lin.
- Minimum number of distinct eigenvalues of distance-regular and signed Johnson graphs (arXiv), (2024) with Shaun Fallat, Allen Herman, and Johnna Parenteau.
- Sufficient conditions for total positivity, compounds, and Dodgson condensation (arXiv), (2024) with Shaun Fallat, and Charles R. Johnson.
- Positivity preservers over finite fields (arXiv), (2024) with Dominique Guillot, Prateek Kumar Vishwakarma, and Chi Hoi Yip.
Published:
- On the eigenvalues of the graphs D(5,q), Finite Fields and Their Applications, Vol. 94, 102358 (2024), with Vladislav Taranchuk. (arXiv)
- The least Euclidean distortion constant of a distance-regular graph, Discrete Applied Mathematics, Vol. 325, 212-225 (2023), with Sebastian Cioaba, Ferdinand Ihringer, and Hirotake Kurihara. (arXiv)
- Constructions of cospectral graphs with different zero forcing numbers, The Electronics Journal of Linear Algebra, Vol. 38, 280-294 (2022), with Aida Abiad, Boris Brimkov, Jane Breen, Thomas R. Cameron, and Ralihe R. Villagran. (arXiv)
- On the Eigenvalues of Grassmann Graphs, Bilinear Forms Graphs and Hermitian Forms Graphs, Graphs and Combinatorics, 38, Article number: 30 (2022), with Sebastian Cioaba. (arXiv)
Theses:
- Algebraic, Geometric, and Spectral Properties of Regular Graphs, Ph.D. thesis, University of Delaware, Newark, USA (2023).
- Correlation Functions in the finite Toom Model, M.S. thesis, Indian Institute of Science, Bangalore, India (2018).
