12 citations · 94 across the 39 of their papers we have counts for
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A combinatorial duality between the weak and strong Bruhat orders
Christian Gaetz, Yibo Gao
In recent work, the authors used an order lowering operator , introduced by Stanley, to prove the strong Sperner property for the weak Bruhat order on the symmetric group.…
A combinatorial -action and the Sperner property for the weak order
Christian Gaetz, Yibo Gao
We construct a simple combinatorially-defined representation of which respects the order structure of the weak order on the symmetric group. This is used to resol…
Counting Shellings of Complete Bipartite Graphs and Trees
Yibo Gao, Junyao Peng
A shelling of a graph, viewed as an abstract simplicial complex that is pure of dimension 1, is an ordering of its edges such that every edge is adjacent to some other edges appear…
On the genus of a quotient of a numerical semigroup
Ayomikun Adeniran, Steve Butler, Colin Defant +6
We find a relation between the genus of a quotient of a numerical semigroup and the genus of itself. We use this identity to compute the genus of a quotient of when …