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A matroid enriched with orientation data abstracting signs of vector configurations.
The standard finite oriented-matroid theory is intended here; infinite oriented matroids require additional axiomatic care.
wp-oriented-matroidnlab-oriented-matroiddiestel-graph-theoryEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Add signed circuit or chirotope data satisfying oriented matroid axioms.
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
wp-oriented-matroiddiestel-graph-theoryEach relation below starts at this concept.
No direct relations are authored in this direction.