51 citations · 154 across the 31 of their papers we have counts for
3 papers · 2 filters
Diameters of Cocircuit Graphs of Oriented Matroids: An Update
Ilan Adler, Jesús A. De Loera, Steven Klee +1
Oriented matroids (often called order types) are combinatorial structures that generalize point configurations, vector configurations, hyperplane arrangements, polyhedra, linear pr…
The lattice of cycles of an undirected graph
Gennadiy Averkov, Anastasia Chavez, Jesus A. De Loera +1
We study bases of the lattice generated by the cycles of an undirected graph, defined as the integer linear combinations of the 0/1-incidence vectors of cycles. We prove structural…
Enumerative problems for arborescences and monotone paths on polytope graphs
Christos Athanasiadis, Jesús De Loera, Zhenyang Zhang
Every generic linear functional on a convex polytope induces an orientation on the graph of . From the resulting directed graph one can define a notion of -arborescen…