matroid.
A structure that captures the essence of a notion of "independence" that generalizes linear independence in vector spaces and acyclicality in graphs.
Meaning & usage
A structure that captures the essence of a notion of "independence" that generalizes linear independence in vector spaces and acyclicality in graphs.
A matroid can be defined in terms of bases. A matroid consists of a ground set as well as a set of bases which is a nonempty subset of the power set of the ground set.
Where this word comes from
From matrix + -oid. They were so named by Hassler Whitney in 1935 in an article titled “On the abstract properties of linear dependence”.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.