Lukas Katthan

activity

20112021

most citedThe Golod property for Stanley-Reisner rings in varying characteristic

6 citations · 21 across the 13 of their papers we have counts for

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Showing 2011Show all

3 papers · 1 filter

math.CO2011★ 2 cited

Decomposing Sets of Inversions

Lukas Katthän

In this note we consider the question how the set of inversions of a permutation $π \in S_{n}$ can be partitioned into two subset, such that those are itself inversion sets of permuta…

math.CO2011

The Linear Ordering Polytope via Representations

Lukas Katthän

Let $P_{n}$ denote the $n$ -th linear ordering polytope. We define projections from $P_{n}$ to the $n$ -th permutahedron and to the $(n - 1)$ -st linear ordering polytope. Both projections…

math.CO2011

On homology spheres with few minimal non faces

Lukas Katthän

Let Δbe a (d-1)-dimensional homology sphere on n vertices with m minimal non-faces. We consider the invariant α:= m - (n-d) and prove that for a given value of α, there are only fi…