Dr. T. Kavaskar’s research focuses on graph coloring and the study of graphs derived from various algebraic structures. He has made notable contributions to several graph coloring concepts, including b-coloring, fall coloring, and partial Grundy coloring.

He has successfully completed two major research projects funded by SERB and UGC, and is currently leading an ongoing project supported by NBHM. Dr. Kavaskar has supervised one Ph.D. scholar to completion, and three additional research scholars are currently working under his guidance.

In addition to his research achievements, he has delivered invited talks at numerous national and international conferences and workshops.

1. S. Balamoorthy and T. Kavaskar, Irreducibility and spectra of eccentricity matrix of graph products, Discrete Mathematics, 2026. (doi.org/10.1016/j.disc.2026.115015).
2. S. Balamoorthy and T. Kavaskar, Spectra of eccentricity matrix of graphs, “Studia Scientiarum Mathematicarum Hungarica: Combinatorics, Geometry and Topology” (2025)     DOI: 10.1556/012.2025.04340
3. T. Kavaskar, Bounds for boxicity of circular clique graphs and zero-divisor graphs, Discrete Applied Mathematics, 365 (2025) 260-269.
4. T. Kavaskar and Sreelakshmi Sukumaran, Total Coloring of Generalized Corona Product Graphs, Studia Scientiarum Mathematicarum Hungarica: Combinatorics, Geometry and  Topology, (2025) Pages 1-6 ( DOI: 10.1556/012.2025.04326).
5. S. Balamoorthy and T. Kavaskar, Spectra of eccentricity matrices of product of graphs, in CALDAM, 2024, Lecture Notes in Computer Science (LNCS), 2025, 38–49.
6. S. Balamoorthy, T. Kavaskar and K. Vinothkumar, Harary and hyper-Wiener indices of some graph operations, J. Inequal. Appl 2024, 34 (2024). (DOI.org/10.1186/s13660-024-03112-6).
7. T. Kavaskar and Sreelakshmi Sukumaran, Total Coloring of Some Graph Operations, Lecture Notes in Computer Science, 14508 Springer, Cham, 2024, 302–312.
8. S. Balamoorthy, T. Kavaskar and K. Vinothkumar, Wiener index of an ideal-based zero-divisor graph of commutative ring with unity, AKCE International Journal of Graphs and Combinatorics, (DOI: 10.1080/09728600.2023.22630402023).
9. T. Kavaskar and Vinothkumar K, Padmakar-Ivan Index of Some families of graphs, Discrete Mathematics, Algorithms and Applications, 16(5), 2350064 (2024).
10. G. Arunkumar, Peter J. Cameron, T. Kavaskar and T. Tamizh Chelvam, Induced subgraphs of zero-divisor graphs, Discrete Mathematics 346 (2023) 113580.
11. T. Kavaskar, Perfectness of G-generalized Join of Graphs, LNCS, 13947, 172-183, 2023.
12. T. Kavaskar, Beck's coloring of finite product of commutative ring with unity, Graphs Combinatorics. 38 (2022), 1-9.