1 citations · 2 across the 6 of their papers we have counts for
7 papers
Unimodular triangulations and Ehrhart theory for two families of Hermite normal form simplices
Justus Bruckamp, Jhon B. Caicedo, Martina Juhnke
We study regular unimodular triangulations, the integer decomposition property, and Ehrhart-theoretic properties of two families of Hermite normal form simplices. We first consider…
Boundary -vectors and unimodular triangulations
Martina Juhnke, Steffen Schlie
We study the Ehrhart -polynomial of (the boundary of) a lattice polytope via regular unimodular triangulations and Gröbner degenerations of toric ideals. Our main result is…
Ehrhart theory of cosmological polytopes
Justus Bruckamp, Lina Goltermann, Martina Juhnke +2
The cosmological polytope of a graph was recently introduced to give a geometric approach to the computation of wavefunctions for cosmological models with associated Feynman di…
Two-edge-connected (not necessarily spanning) subgraphs and polyhedra
Justus Bruckamp, Markus Chimani, Martina Juhnke
Given a graph , we study the -edge-connected subgraph polytope , which is given by the convex hull of the incidence vectors of all -edge-connected subgr…
The -index of semi-Eulerian posets
Martina Juhnke-Kubitzke, José Alejandro Samper, Lorenzo Venturello
We generalize the definition of the -index of an Eulerian poset to the class of semi-Eulerian posets. For simplicial semi-Eulerian Buchsbaum posets, we show that all coefficien…
On the connected blocks polytope
Justus Bruckamp, Markus Chimani, Martina Juhnke
In this paper, we study the connected blocks polytope, which, apart from its own merits, can be seen as the generalization of certain connectivity based or Eulerian subgraph polyto…