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A ground set with a family of independent subsets satisfying the matroid independence axioms.
For finite ground sets the usual hereditary and augmentation axioms suffice; infinite matroids require an additional maximality condition.
wp-matroidnlab-matroiddiestel-graph-theoryEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Add independent subsets satisfying hereditary and exchange 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-matroidnlab-matroiddiestel-graph-theoryEach relation below starts 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-theory