English

On LP-orientations of cubes and crosspolytopes

Combinatorics 2007-05-23 v1 Commutative Algebra Optimization and Control

Abstract

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.

Cite

@article{arxiv.math/0211073,
  title  = {On LP-orientations of cubes and crosspolytopes},
  author = {Mike Develin},
  journal= {arXiv preprint arXiv:math/0211073},
  year   = {2007}
}

Comments

9 pages

R2 v1 2026-07-22T16:49:04.965Z