matroid

abstract structure that models and generalizes linear independency
Thing general Q898572
matroid
David Eppstein · Public Domain · Wikimedia
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matroid

Summary

matroid ranks in the top 2% of general entities by monthly Wikipedia readership (281 views/month).[1]

Key Facts

  • matroid is credited with the discovery of Hassler Whitney[2].
  • matroid's image is recorded as Vamos matroid.svg[3].
  • matroid's Library of Congress authority ID is recorded as sh85082228[4].
  • matroid's subclass of is recorded as independence system[5].
  • matroid's subclass of is recorded as greedoid[6].
  • matroid's subclass of is recorded as Coxeter matroid[7].
  • matroid's Freebase ID is recorded as /m/01kdc2[8].
  • matroid's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/matroids[9].
  • matroid's defining formula is recorded as \begin{aligned}\mathcal I&\ne\varnothing\Y\subset X\in\mathcal I&\implies Y\in\mathcal I\X\in\mathcal I\ni Y\land|X|<|Y|&\implies\exists y\in Y\setminus X\colon X\cup{y}\in\mathcal I\end{aligned}<sup id="cite-C14" class="cite-ref" title="matroid — defining formula (P2534): \begin{aligned}\mathcal I&\ne\varnothing\Y\subset X\in\mathcal I&\implies Y\in\mathcal I\X\in\mathcal I\ni Y\land|X|<|Y|&\implies\exists y\in Y\setminus X\colon X">[10].
  • matroid's studied by is recorded as matroid theory[11].
  • matroid's MathWorld ID is recorded as Matroid[12].
  • matroid's Treccani ID is recorded as matroide[13].
  • matroid's JSTOR topic ID is recorded as matroids[14].
  • matroid's maintained by WikiProject is recorded as WikiProject Mathematics[15].
  • matroid's Microsoft Academic ID is recorded as 106286213[16].
  • matroid's in defining formula is recorded as \setminus[17].
  • matroid's in defining formula is recorded as \varnothing[18].
  • matroid's in defining formula is recorded as |~|[19].
  • matroid's in defining formula is recorded as \land[20].
  • matroid's in defining formula is recorded as \implies[21].
  • matroid's in defining formula is recorded as \mathcal I[22].
  • matroid's Encyclopedia of Mathematics article ID is recorded as Matroid[23].
  • matroid's PlanetMath ID is recorded as Matroid[24].
  • matroid's National Library of Israel J9U ID is recorded as 987007557991105171[25].
  • matroid's Treccani's Enciclopedia della Matematica ID is recorded as matroide[26].

Body

Works and Contributions

matroid is credited with the discovery of Hassler Whitney[2].

Why It Matters

matroid ranks in the top 2% of general entities by monthly Wikipedia readership (281 views/month).[1] matroid has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[27] matroid is known by 6 alternative names across languages and contexts.[28]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [2] . wikidata.org.
  3. [4] . github.com. Retrieved . github.com. Provenance: wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . Freebase Data Dumps. wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.
  24. [25] . National Library of Israel. wikidata.org.
  25. [26] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). matroid. Retrieved April 10, 2026, from https://4ort.xyz/entity/matroid
MLA “matroid.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/matroid.
BibTeX @misc{4ortxyz_matroid_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{matroid}}, year = {2026}, url = {https://4ort.xyz/entity/matroid}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): matroid — https://4ort.xyz/entity/matroid (retrieved 2026-04-10)

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