English

Kalai orientations on matroid polytopes

Combinatorics 2007-05-23 v1

Abstract

Let P a polytope and let G(P) be the graph of P. Following Gil Kalai, we say that an acyclic orientation O of G(P) is good if, for every non-empty face F of P, the induced graph G(F) has exactly one sink. Gil Kalai gave a simple way to tell a simple polytope from the good orientations of its graph. This article is a broader study of ``good orientations'' (of the graphs) on matroid polytopes.

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Cite

@article{arxiv.math/0504326,
  title  = {Kalai orientations on matroid polytopes},
  author = {Raul Cordovil},
  journal= {arXiv preprint arXiv:math/0504326},
  year   = {2007}
}

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6 pages