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- Matroid_rank abstract "In the mathematical theory of matroids, the rank of a matroid is the maximum size of an independent set in the matroid. The rank of a subset S of elements of the matroid is, similarly, the maximum size of an independent subset of S, and the rank function of the matroid maps sets of elements to their ranks.The rank function is one of the fundamental concepts of matroid theory via which matroids may be axiomatized. The rank functions of matroids form an important subclass of the submodular set functions, and the rank functions of the matroids defined from certain other types of mathematical object such as undirected graphs, matrices, and field extensions are important within the study of those objects.".
- Matroid_rank wikiPageID "37123010".
- Matroid_rank wikiPageLength "5857".
- Matroid_rank wikiPageOutDegree "27".
- Matroid_rank wikiPageRevisionID "675336702".
- Matroid_rank wikiPageWikiLink Abstract_algebra.
- Matroid_rank wikiPageWikiLink Algebraic_independence.
- Matroid_rank wikiPageWikiLink Category:Dimension.
- Matroid_rank wikiPageWikiLink Category:Matroid_theory.
- Matroid_rank wikiPageWikiLink Circuit_rank.
- Matroid_rank wikiPageWikiLink Dimension_(vector_space).
- Matroid_rank wikiPageWikiLink Field_extension.
- Matroid_rank wikiPageWikiLink Graph_(discrete_mathematics).
- Matroid_rank wikiPageWikiLink Graph_theory.
- Matroid_rank wikiPageWikiLink Graphic_matroid.
- Matroid_rank wikiPageWikiLink Integer.
- Matroid_rank wikiPageWikiLink Linear_algebra.
- Matroid_rank wikiPageWikiLink Linear_independence.
- Matroid_rank wikiPageWikiLink Matrix_(mathematics).
- Matroid_rank wikiPageWikiLink Matroid.
- Matroid_rank wikiPageWikiLink Matroid_oracle.
- Matroid_rank wikiPageWikiLink Matroid_representation.
- Matroid_rank wikiPageWikiLink Maximal_element.
- Matroid_rank wikiPageWikiLink Monotonic_function.
- Matroid_rank wikiPageWikiLink Parameterized_complexity.
- Matroid_rank wikiPageWikiLink Rank_(linear_algebra).
- Matroid_rank wikiPageWikiLink Submodular_set_function.
- Matroid_rank wikiPageWikiLink Transcendence_degree.
- Matroid_rank wikiPageWikiLink Vector_space.
- Matroid_rank wikiPageWikiLinkText "Matroid rank".
- Matroid_rank wikiPageWikiLinkText "corank".
- Matroid_rank wikiPageWikiLinkText "matroid rank".
- Matroid_rank wikiPageWikiLinkText "rank function".
- Matroid_rank wikiPageWikiLinkText "rank functions".
- Matroid_rank wikiPageWikiLinkText "rank".
- Matroid_rank wikiPageWikiLinkText "ranks".
- Matroid_rank wikiPageUsesTemplate Template:Reflist.
- Matroid_rank subject Category:Dimension.
- Matroid_rank subject Category:Matroid_theory.
- Matroid_rank hypernym Size.
- Matroid_rank type Organisation.
- Matroid_rank type Combinatoric.
- Matroid_rank comment "In the mathematical theory of matroids, the rank of a matroid is the maximum size of an independent set in the matroid. The rank of a subset S of elements of the matroid is, similarly, the maximum size of an independent subset of S, and the rank function of the matroid maps sets of elements to their ranks.The rank function is one of the fundamental concepts of matroid theory via which matroids may be axiomatized.".
- Matroid_rank label "Matroid rank".
- Matroid_rank sameAs Q6787908.
- Matroid_rank sameAs m.0n3vmt0.
- Matroid_rank sameAs Q6787908.
- Matroid_rank wasDerivedFrom Matroid_rank?oldid=675336702.
- Matroid_rank isPrimaryTopicOf Matroid_rank.