4 papers
Searching for quicksand ideals in partially ordered sets
Alexas Iams, Hannah Johnston, Robert Muth
We consider a combinatorial question about searching for an unknown ideal within a known poset . Elements of may be queried for membership in , but at most positi…
Cuspidal ribbon tableaux in affine type A
Dina Abbasian, Lena Difulvio, Robert Muth +3
For any convex preorder on the set of positive roots of affine type A, we classify and construct all associated cuspidal and semicuspidal skew shapes. These combinatorial objects c…
Cooperative half-guards in art galleries
Daniel Florentino, Ethan Moy, Robert Muth
In any simple polygonal art gallery with n walls, we show that it is possible to place floor(n/2)-1 guards whose range of vision is 180 degrees in such a way that every interior po…
Super RSK correspondence with symmetry
Robert Muth
Super RSK correspondence is a bijective correspondence between superbiwords and pairs of semistandard supertableaux. Such a bijection was given by Bonetti, Senato and Venezia, via…