5 papers · 1 filter
Posets of trek polynomials for directed trees
Marina Garrote-López, Nataliia Kushnerchuk, Liam Solus
When a variety equals the image of a polynomial map whose coordinate functions are combinatorial generating polynomials (i.e.~polynomials enumerating combinatorial object…
On unirational varieties with poset parameterizations
Marina Garrote-López, Nataliia Kushnerchuk, Liam Solus
We use partially ordered sets (posets) to provide a canonical parameterization for the Zariski closure of the image of a semialgebraic set under a rational map whose coordinate fun…
Colored Multiset Eulerian Polynomials
Danai Deligeorgaki, Bin Han, Liam Solus
Colored multiset Eulerian polynomials are a common generalization of MacMahon's multiset Eulerian polynomials and the colored Eulerian polynomials, both of which are known to satis…
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…
Hyperplane Representations of Interventional Characteristic Imset Polytopes
Benjamin Hollering, Joseph Johnson, Liam Solus
Characteristic imsets are 0/1-vectors representing directed acyclic graphs whose edges represent direct cause-effect relations between jointly distributed random variables. A chara…