66 citations · 664 across the 84 of their papers we have counts for
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math.CO2012★ 23 cited
Combinatorial Markov chains on linear extensions
Arvind Ayyer, Steven Klee, Anne Schilling
We consider generalizations of Schuetzenberger's promotion operator on the set L of linear extensions of a finite poset of size n. This gives rise to a strongly connected graph on…
math.CO2012★ 17 cited
New enumeration formulas for alternating sign matrices and square ice partition functions
Arvind Ayyer, Dan Romik
The refined enumeration of alternating sign matrices (ASMs) of given order having prescribed behavior near one or more of their boundary edges has been the subject of extensive stu…