58 citations · 399 across the 82 of their papers we have counts for
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Balanced squeezed Complexes
Martina Juhnke-Kubitzke, Uwe Nagel
Given any order ideal consisting of color-squarefree monomials involving variables with colors, we associate to it a balanced -dimensional simplicial complex $Δ_{\ma…
Squeezed Complexes
Martina Juhnke-Kubitzke, Uwe Nagel
Given a shifted order ideal , we associate to it a family of simplicial complexes that we call squeezed complexes. In a special case, our construction gives…
Signed lozenge tilings
David Cook, Uwe Nagel
It is well-known that plane partitions, lozenge tilings of a hexagon, perfect matchings on a honeycomb graph, and families of non-intersecting lattice paths in a hexagon are all in…
Enumerations of lozenge tilings, lattice paths, and perfect matchings and the weak Lefschetz property
David Cook, Uwe Nagel
MacMahon enumerated the plane partitions in an box. These are in bijection to lozenge tilings of a hexagon, to certain perfect matchings, and to families of n…
Cohen-Macaulay graphs and face vectors of flag complexes
David Cook, Uwe Nagel
We introduce a construction on a flag complex that, by means of modifying the associated graph, generates a new flag complex whose -factor is the face vector of the original com…
On the shape of a pure O-sequence
M. Boij, J. Migliore, R. Miro'-Roig +2
An order ideal is a finite poset X of (monic) monomials such that, whenever M is in X and N divides M, then N is in X. If all, say t, maximal monomials of X have the same degree, t…