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math.CO2000
On the k-Systems of a Simple Polytope
Michael Joswig, Volker Kaibel, Friederike K"orner
A k-system of the graph G(P) of a simple polytope P is a set of induced subgraphs of G(P) that shares certain properties with the set of subgraphs induced by the k-faces of P. This…
math.CO2000
Vertex-Facet Incidences of Unbounded Polyhedra
Michael Joswig, Volker Kaibel, Marc E. Pfetsch +1
How much of the combinatorial structure of a pointed polyhedron is contained in its vertex-facet incidences? Not too much, in general, as we demonstrate by examples. However, one c…