Holt and Klee have recently shown that every (generic) LP orientation of the graph of a d-polytope satisfies a directed version of the d-connectivity property, i.e. there are d internally disjoint directed paths from a unique source to a unique sink. We in ...
Let M be a finite set of vectors in Rn of cardinality m and H(M) = {{x ∈ Rn : cTx = 0} : c ∈ M} the central hyperplane arrangement represented by M. An independent subset of M of cardinality n is called a Camion basis, if it determines a simplex region in ...