PREPRINTS
An Upper Bound on the Linear Turan Number of k-Crowns (Submitted)
Bounds on Linear Turán Number for Trees with Pragya Verma (To appear in IWOCA 2026)
Off-diagonal Rado number for x + y + c = z and x + y + k = z with Yash Bakshi, L. Sunil Chandran and Sarawati Girish Nanoti (Preprint)
Off-diagonal Rado number for x + y + c = z and x + qy = z with Yash Bakshi, L. Sunil Chandran and Sarawati Girish Nanoti (Submitted)
Generalized Zykov's Theorem with L. Sunil Chandran (Submitted)
Vertex-Based Localization of generalized Turan Problems with L. Sunil Chandran (Submitted)
Localization: A Framework to Generalize Extremal Problems with L. Sunil Chandran (Appeared in CALDAM 2026) (arXiv version)
Vertex-Based Localization of Erdos-Gallai Theorems for Paths and Cycles with L. Sunil Chandran (Submitted)
Vertex-Based Localization of Turan’s Theorem with L. Sunil Chandran (Submitted)
Revisiting Token Sliding on Chordal Graphs with Saraswati Nanoti and Prafullkumar Tale (To appear in WG 2026)
MISCELLANEOUS
My first research project was with Dr. Nishad Kothari, Indian Institute of Technology Madras, following his offering of the course Structural Graph Theory. The project aimed to characterize all the graphs that have each of their even cycles as a conformal subgraph. We coined a term for such graphs, which was cycle-extendable. I made partial progress towards characterizing cycle-extendable graphs, focusing on the planar case.
My Master's thesis is based on "Spectral Extremal Graph Problems and Localized Versions ". I worked on this during my final year at IIT-H (August 2023 - May 2024), under the supervision of Dr. M Rajesh Kannan. For further details, here's the presentation and the project report.