Standard Lemma guide

matroid

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

A structure that captures the essence of a notion of "independence" that generalizes linear independence in vector spaces and acyclicality in graphs.

Definition source: English Wiktionary via Wiktextract

Topics: combinatorics, mathematics, sciences

Examples

  • 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.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

From matrix + -oid. They were so named by Hassler Whitney in 1935 in an article titled “On the abstract properties of linear dependence”.

Across languages

Translations

3 source translations are retained for this English entry.

  • Finnish: matroidi — Translations
  • French: matroïde — Translations
  • Italian: matroide — Translations