On LP-orientations of cubes and crosspolytopes

Mathematics – Combinatorics

Scientific paper

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9 pages

Scientific paper

We show that the Holt-Klee conditions are very insufficient for an
orientation of the graph of a polytope to be an LP-orientation in the case of
the n-cube. We also give a strengthening of the Holt-Klee conditions which is
both necessary and sufficient in the case of the crosspolytope.

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