1 citations · 1 across the 6 of their papers we have counts for
6 papers
The Cactus Group Property for Ordinal Sums of Disjoint Unions of Chains
Son Nguyen
We study the action of Bender-Knuth involutions on linear extensions of posets and identify LE-cactus posets, i.e. those for which the cactus relations hold. It was conjectured in…
Bender-Knuth involutions on linear extensions of posets
Judy Hsin-Hui Chiang, Anh Trong Nam Hoang, Matthew Kendall +4
We study the permutation group generated by Bender-Knuth moves on linear extensions of a poset , an analog of the Berenstein-Kirillov group on column-strict tab…
Permutations whose reverse shares the same recording tableau in the RSK correspondence
Tucker J. Ervin, Blake Jackson, Jay Lane +4
The RSK correspondence is a bijection between permutations and pairs of standard Young tableaux with identical shape, where the tableaux are commonly denoted (insertion) and $Q…
Connectivity of Alternating Sign Triangle
Son Nguyen
Alternating sign triangles were introduced by Carroll and Speyer in relation to cube recurrence, by analogy to alternating sign matrices for octahedron recurrence. In this paper, w…
Characterizing Alternating Sign Triangles
Son Nguyen
Alternating sign triangles were introduced by Carroll and Speyer in relation to cube recurrence, by analogy to alternating sign matrices for octahedron recurrence. Permutation tria…
A proof of Lee-Lee's conjecture about geometry of rigid modules
Son Dang Nguyen
This paper proves Lee-Lee's conjecture that establishes a coincidence between the set of associated roots of non-self-intersecting curves in a -punctured disc and the set of rea…