PREPRINTS
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 (Preprint)
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.