Orientability of matroids

@article{Bland1978OrientabilityOM,
  title={Orientability of matroids},
  author={R. Bland and M. L. Vergnas},
  journal={J. Comb. Theory, Ser. B},
  year={1978},
  volume={24},
  pages={94-123}
}
Abstract In this paper we define oriented matroids and develop their fundamental properties, which lead to generalizations of known results concerning directed graphs, convex polytopes, and linear programming. Duals and minors of oriented matroids are defined. It is shown that every coordinatization (representation) of a matroid over an ordered field induces an orientation of the matroid. Examples of matroids that are orientable but not coordinatizable and of matroids that are not orientable… Expand
Topes of Oriented Matroids and Related Structures
Projective equivalence of matroids with coefficients
  • W. Wenzel
  • Computer Science, Mathematics
  • J. Comb. Theory, Ser. A
  • 1991
Matroid Signatures Coordinatizable over a Semiring
Minimal non-orientable matroids of rank three
Cubes and orientability
  • I. P. Silva
  • Computer Science, Mathematics
  • Discret. Math.
  • 2008
The flow lattice of oriented matroids
...
1
2
3
4
5
...

References

SHOWING 1-5 OF 5 REFERENCES
A higher invariant for matroids
NETWORKS, FRAMES, BLOCKING SYSTEMS
Lectures on matroids