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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…