matching number

size of a maximum matching in a graph
Thing graph_property Q93638909
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matching number

Summary

matching number is a graph property[1]. It draws 5 Wikipedia views per month (graph_property category, ranking #29 of 43).[2]

Key Facts

  • matching number's instance of is recorded as graph property[3].
  • matching number is a type of non-negative integer[4].
  • matching number is a type of cardinality[5].
  • matching number's facet of is recorded as matching[6].
  • matching number's greater than is recorded as induced matching number[7].
  • matching number's greater than is recorded as lower matching number[8].
  • matching number's less than is recorded as edge cover number[9].
  • matching number's less than is recorded as fractional vertex-cover number[10].
  • matching number's less than is recorded as lower matching number[11].
  • matching number's maintained by WikiProject is recorded as WikiProject Mathematics[12].

Body

Definition and Type

matching number's instance of is recorded as graph property[3]. Recorded subclass of include non-negative integer[4] and cardinality[5].

Why It Matters

matching number draws 5 Wikipedia views per month (graph_property category, ranking #29 of 43).[2] It is known by 10 alternative names across languages and contexts.[13]

References

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

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . Retrieved . wikidata.org.
  8. [10] ↑ . Retrieved . wikidata.org.
  9. [11] ↑ . Dominating induced matchings of finite graphs and regularity of edge ideals. wikidata.org.
  10. [12] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] ↑ . 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). matching number. Retrieved October 8, 2026, from https://4ort.xyz/entity/matching-number
MLA “matching number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 8 Oct. 2026, https://4ort.xyz/entity/matching-number.
BibTeX @misc{4ortxyz_matching-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{matching number}}, year = {2026}, url = {https://4ort.xyz/entity/matching-number}, note = {Accessed: 2026-10-08}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): matching number — https://4ort.xyz/entity/matching-number (retrieved 2026-10-08)

Canonical URL: https://4ort.xyz/entity/matching-number · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 12h ago · KrBot bot · 2026-10-08 view diff on Wikidata ↗
    Claims rich → —
    "/* wbsetqualifier-update:1| */ [[Property:P1013]]: [[Q11668618]], разрешение перенаправления / resolving redirect [[Q55935272]] → [[Q11668618]] ([[:toollabs:editgroups/b/KrBotResolvingRedirect/Q559352"
  2. 7d ago · Dexxor · 2026-10-01 view diff on Wikidata ↗
    Sitelink count → 4
    Mathworld id → MatchingNumber
    Graphclasses.org id → par_13
    Imported from → —
    + 12 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update:2||1 */ [[Property:P5136]]: [[Q130493784]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.