66 citations · 664 across the 84 of their papers we have counts for
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math.CO2011★ 9 cited
Determinants and Perfect Matchings
Arvind Ayyer
We give a combinatorial interpretation of the determinant of a matrix as a generating function over Brauer diagrams in two different but related ways. The sign of a permutation ass…
math.CO2011
Monotone triangles and 312 Pattern Avoidance
Arvind Ayyer, Robert Cori, Dominique Gouyou-Beauchamps
We demonstrate a natural bijection between a subclass of alternating sign matrices (ASMs) defined by a condition on the corresponding monotone triangle which we call the gapless co…