66 citations · 664 across the 84 of their papers we have counts for
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math.CO2009★ 11 cited
A Natural Bijection between Permutations and a Family of Descending Plane Partitions
Arvind Ayyer
We construct a direct natural bijection between descending plane partitions without any special part and permutations. The directness is in the sense that the bijection avoids any…
math.CO2009★ 5 cited
Towards a human proof of Gessel's conjecture
Arvind Ayyer
We interpret walks in the first quadrant with steps {(1,1),(1,0),(-1,0), (-1,-1)} as a generalization of Dyck words with two sets of letters. Using this language, we give a formal…