[1] Adler, M., Johansson, K., & van Moerbeke, P. (2022). A singular Toeplitz determinant and the discrete tacnode kernel for skew-Aztec rectangles. The Annals of Applied Probability, 32(2), 1234–1294.
[2] Akian, M., Gaubert, S., & Guterman, A. (2009). Linear independence over tropical semirings and beyond. Contemporary Mathematics, 495(1), 1–38.
[3] Amutha, B., & Perumal, R. (2025). A novel methodology for determining row and column ranks of tropical matrices. Applied Mathematics E-Notes, 25, 31–44. 
[4] Amutha, B., & Perumal, R. (2023). Public key exchange protocols based on tropical lower circulant and anti circulant matrices. AIMS Mathematics, 8(7), 17307–17334.

[5] Amutha, B., & Perumal, R. (2024). Two party key exchange protocol based on duo circulant matrices for the IoT environment. International Journal of Information Technology, 1–12. 
[6] Amutha, B., & Perumal, R. (2024). Maximal solution of tropical linear systems by normalization method. In International Conference on Recent Developments in Mathematics (pp. 185–195). 
[7] Amutha, B., & Perumal, R. (2023). The general maximal solution of some matrices over the tropical semiring. Asia Pacific Journal of Mathematics, 10(24), 1–20. 
[8] Anuradha, A., & Amutha, B. (2019). A study on metric dimension of some families of graphs. AIP Conference Proceedings, 2112, 020101. 
[9] Bernik, J., Drnovšek, R., Bukovšek, D. K., Košir, T., Omladiˇ c, M., & Radjavi, H. (2011). On semitransitive Jordan algebras of matrices. Journal of Algebra and Its Applications, 10(2), 319–333. 
[10] Bini, D. A., Iannazzo, B., & Meng, J. (2021). Algorithms for approximating means of semi-infinite quasi-Toeplitz matrices. In Geometric Science of Information (GSI 2021) (pp. 405–414). Springer. 
[11] Develin, M., Santos, F., & Sturmfels, B. (2005). On the rank of a tropical matrix. In Combinatorial and Computational Geometry (Vol. 52, pp. 213–242).
[12] Donatelli, M., Ferrari, P., Furci, I., Serra-Capizzano, S., & Sesana, D. (2021). Multigrid methods for block-Toeplitz linear systems: Convergence analysis and applications. Numerical Linear Algebra with Applications, 28(4), e2356.
[13] Engliš, M. (2007). Toeplitz operators and group representations. Journal of Fourier Analysis and Applications, 13, 243–265. 
[14] Euler, R. (2001). Characterizing bipartite Toeplitz graphs. Theoretical Computer Science, 263(1–2), 47–58. 
[15] Evans, R., Greene, J., & Van Veen, M. (2020). Nullities for a class of skew-symmetric Toeplitz band matrices. Linear Algebra and Its Applications, 593, 276–304. 
[16] Farenick, D. (2021). The operator system of Toeplitz matrices. Transactions of the American Mathematical Society, Series B, 8(32), 999–1023. 
[17] Grenander, U., & Szegö, G. (1958). Toeplitz forms and their applications. University of California Press. 
[18] Haupt, J., Bajwa, W. U., Raz, G., & Nowak, R. (2010). Toeplitz compressed sensing matrices with applications to sparse channel estimation. IEEE Transactions on Information Theory, 56(11), 5862–5875. 
[19] Hayashi, S. (2022). An index theorem for quarter-plane Toeplitz operators via extended symbols and gapped invariants related to corner states. Communications in Mathematical Physics. 
[20] Heinig, G., & Rost, K. (2022). Algebraic methods for Toeplitz-like matrices and operators. De Gruyter. 
[21] Ioos, L., Lu, W., Ma, X., & Marinescu, G. (2020). Berezin–Toeplitz quantization for eigenstates of the Bochner Laplacian on symplectic manifolds. The Journal of Geometric Analysis, 30(3), 2615–2646. 
[22] Jackson, J., & Perumal, R. (2023). Another cryptanalysis on a tropical key exchange protocol. IAENG International Journal of Computer Science, 50(4). 
[23] Jackson, J., & Perumal, R. (2024). A public key exchange protocol using tropical determinant for IoT environment. In International Conference on Advanced Computing and Applications (pp. 81–93). Springer. 
[24] Jackson, J., & Perumal, R. (2024). A robust image encryption technique based on an improved fractional order chaotic map. Nonlinear Dynamics, 1–20. 
[25] Jackson, J., & Perumal, R. (2024). A tropical algebraic Collatz conjecture based key exchange protocol for IoT environment. International Journal of Information Technology, 1–9. 
[26] Jackson, J., & Perumal, R. (2024). An algebraic attack on the key exchange protocol based upon a modified tropical structure. Information and Computation, 303, 105259. 
[27] Jamshidvand, S., Ghalandarzadeh, S., Amiraslani, A., & Olia, F. (2020). On the maximal solution of a linear system over tropical semirings. Mathematical Sciences, 14(2), 147–157. 
[28] Kac, M. (1964). Some combinatorial aspects of the theory of Toeplitz matrices. In IBM Scientific Computing Symposium on Combinatorial Problems (pp. 199–208). 
[29] Kapralos, M. (2022). Taylor polynomials as an estimator for certain Toeplitz matrices. The Journal of Supercomputing, 78(11), 13245–13275. 
[30] Maclagan, D., & Sturmfels, B. (2021). Introduction to tropical geometry. American Mathematical Society. 
[31] Mojallal, S. A., Jung, J. H., Cheon, G. S., Kim, S. R., & Kang, B. (2022). Structural properties of Toeplitz graphs. Discrete Mathematics, 345(11), 113016. 
[32] Nishida, Y., Watanabe, S., & Watanabe, Y. (2021). Independence and orthogonality of algebraic eigenvectors over the max-plus algebra. arXiv preprint arXiv:2110.00285. 
[33] Olia, F., Ghalandarzadeh, S., Amiraslani, A., & Jamshidvand, S. (2020). Solving linear systems over tropical semirings through normalization method and its applications. Journal of Algebra and Its Applications, 2150159.
[34] Poland, D. (1996). Toeplitz matrices and random walks with memory. Physica A: Statistical Mechanics and Its Applications, 223(1–2), 113–124. 
[35] Ponmaheshkumar, A., & Perumal, R. (2024). Enhancing vehicle IoT security through matrix power functions in supertropical semiring. Mathematics in Engineering, Science & Aerospace, 15(1). 
[36] Ponmaheshkumar, A., & Perumal, R. (2024). Toeplitz matrices based key exchange protocol for the Internet of Things. International Journal of Information Technology, 16(1), 293–300.

[37] Price, G. L. (2022). On skew-symmetric Toeplitz matrices over finite fields with periodicity conditions. Linear Algebra and Its Applications, 642, 101–117.
[38] Strang, G. (1999). The discrete cosine transform, block Toeplitz matrices, and wavelets. In Lecture Notes in Pure and Applied Mathematics (pp. 517–536). 
[39] Tavakolipour, H., & Shakeri, F. (2018). On tropical eigenvalues of tridiagonal Toeplitz matrices. Linear Algebra and Its Applications, 539, 198–218. 
[40] Toft, J. (2012). The Bargmann transform on modulation and Gelfand–Shilov spaces, with applications to Toeplitz and pseudo-differential operators. Journal of Pseudo-Differential Operators and Applications, 3, 145–227. 
[41] Xuan, Y., & Lin, F. R. (2012). Numerical methods based on rational variable substitution for Wiener–Hopf equations of the second kind. Journal of Computational and Applied Mathematics, 236(14), 3528–3539. 
[42] Ye, K., & Lim, L. H. (2016). Every matrix is a product of Toeplitz matrices. Foundations of Computational Mathematics, 16, 577–598.