27 citations · 92 across the 34 of their papers we have counts for
12 papers · 1 filter
Hilbert functions over the exterior algebra and f-vectors in higher rank I: Amata-Crupi monomial modules, Kozlov polytopes, and r-vectors of simplicial complexes
Jan Snellman
Let be the exterior algebra on generators over a field, and let be a graded free -module with generators, of degrees . We determine the co…
On the directions occurring in lattice-line coverings of the integer plane
Jan Snellman
We consider families of lines that cover every point of the integer lattice in the plane, subject to the constraint that no two lines of different direction in the f…
Digraphs with a fixed number of edges and vertices, having a maximal number of walks of length 2
Jan Snellman
Inspired by the work of Backelin on non-commutative correspondences to Macaulay's theorem of the growth of the Hilbert series of affine algebras, we study embedding dimension depen…
Generating functions for borders
Jan Snellman
We give the generating function for the index of integer lattice points, relative to a finite order ideal. The index is an important concept in the theory of border bases, an alter…
Laplacians on shifted multicomplexes
Jan Snellman
We define the Laplacian operator on finite multicomplexes and give a formula for its spectra in the case of shifted multicomplexes.
Saturated chains in composition posets
Jan Snellman
We study three different poset structures on the set of all compositions. In the first case, the covering relation consists of inserting a part of size one to the left or to the ri…