12 citations · 31 across the 14 of their papers we have counts for
16 papers
Stacky fans and tropical moduli in polymake
Dominic Bunnett, Michael Joswig, Julian Pfeifle
We investigate geometric embeddings among several classes of stacky fans and algorithms, e.g., to compute their homology. Interesting cases arise from moduli spaces of tropical cur…
Positive Plücker tree certificates for non-realizability
Julian Pfeifle
We introduce a new method for finding a non-realizability certificate of a simplicial sphere Sigma: we exhibit a monomial combination of classical 3-term Plücker relations that yie…
Webs of stars or how to triangulate free sums of point configurations
Benjamin Assarf, Michael Joswig, Julian Pfeifle
The triangulations of point configurations which decompose as a free sum are classified in terms of the triangulations of the summands. The methods employ two new kinds of partiall…
A Polyhedral Proof of the Matrix Tree Theorem
Aaron Dall, Julian Pfeifle
The classical matrix tree theorem relates the number of spanning trees of a connected graph with the product of the nonzero eigenvalues of its Laplacian matrix. The class of regula…
Polygons as sections of higher-dimensional polytopes
Arnau Padrol, Julian Pfeifle
We show that every heptagon is a section of a -polytope with vertices. This implies that every -gon with can be obtained as a section of a $(2+\lfloor\frac{n}{7…
Polytopality and Cartesian products of graphs
Julian Pfeifle, Vincent Pilaud, Francisco Santos
We study the question of polytopality of graphs: when is a given graph the graph of a polytope? We first review the known necessary conditions for a graph to be polytopal, and we p…