3 papers
math.CO2026
Straight polyomino tilings of rectangles and special rim-hook tableaux
Mudit Aggarwal, Hrishik Koley, Samrith Ram
We derive explicit rational generating functions for weighted tilings of rectangles by straight tiles. Our approach combines a decomposition by fault lines…
math.CO2026
On groups with D-finite cogrowth series
Mudit Aggarwal, Murray Elder, Andrew Rechnitzer
The cogrowth series of a group with respect to a finite generating set is an important combinatorial quantity that seems very difficult to compute exactly, as evidenced by the scar…
cs.IT2024
Improved bounds on the interactive capacity via error pattern analysis
Mudit Aggarwal, Manuj Mukherjee
Any interactive protocol between a pair of parties can be reliably simulated in the presence of noise with a multiplicative overhead on the number of rounds (Schulman 1996). The re…