Poset vectors and generalized permutohedra
We show that given a poset P and and a subposet Q, the integer points obtained by restricting linear extensions of P to Q can be explained via integer lattice points of a generalized permutohedron.
math.CO↗
arXiv subjects
Dorian Croitoru
Publications and source records attributed to Dorian Croitoru.
Diagonal vectors of shifted Young tableaux
We study vectors formed by entries on the diagonal of standard Young tableaux of shifted shapes. Such vectors are in bijection with integer lattice points of certain integral polytopes, which are Minkowski sums of simplices. We also describe vertices of these polytopes, and construct corresponding shifted Young tableaux.
math.CO↗