53 citations · 489 across the 66 of their papers we have counts for
Showing 2017 · math.COShow all
2 papers · 2 filters
math.CO2017★ 7 cited
Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks
Thomas Dreyfus, Kilian Raschel
We consider weighted small step walks in the positive quadrant, and provide algebraicity and differential transcendence results for the underlying generating functions: we prove th…
math.CO2017★ 51 cited
Counting quadrant walks via Tutte's invariant method
Olivier Bernardi, Mireille Bousquet-Mélou, Kilian Raschel
In the 1970s, William Tutte developed a clever algebraic approach, based on certain "invariants", to solve a functional equation that arises in the enumeration of properly colored…