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math.CO2025
The complex of -co-connected subgraphs, chordality and Fröberg's theorem
Priyavrat Deshpande, Amit Roy, Rutuja Sawant
We introduce a new family of pure simplicial complexes, called the -co-connected complex of with respect to , , where is a natural number, is a si…
math.NT2025
Unveiling Arithmetic Statistics of Congruent Number Elliptic Curves via Data Science and Machine Learning
Priyavrat Deshpande, Aditya Karnataki, Pratiksha Shingavekar
This article presents a comprehensive data-scientific investigation into the arithmetic statistics of congruent number elliptic curves, leveraging a dataset of square-free integers…