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minimum rank of a graph

smallest rank of any generalized adjacency matrix
Thing graph_property Q17098980
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minimum rank of a graph

Summary

minimum rank of a graph is a graph property[1]. It draws 7 Wikipedia views per month (graph_property category, ranking #29 of 43).[2]

Key Facts

  • minimum rank of a graph's instance of is recorded as graph property[3].
  • minimum rank of a graph's greater than is recorded as graph diameter[4].
  • minimum rank of a graph's less than is recorded as number of vertices[5].
  • minimum rank of a graph's less than is recorded as intersection number[6].
  • minimum rank of a graph's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

minimum rank of a graph's instance of is recorded as graph property[3].

Why It Matters

minimum rank of a graph draws 7 Wikipedia views per month (graph_property category, ranking #29 of 43).[2]

References

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

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . Zero Forcing Sets for Graphs. wikidata.org.
  3. [5] ↑ . The minimum rank of symmetric matrices described by a graph: A survey. wikidata.org.
  4. [6] ↑ . The minimum rank of symmetric matrices described by a graph: A survey. wikidata.org.
  5. [7] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.

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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). minimum rank of a graph. Retrieved May 3, 2026, from https://4ort.xyz/entity/minimum-rank-of-a-graph
MLA “minimum rank of a graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/minimum-rank-of-a-graph.
BibTeX @misc{4ortxyz_minimum-rank-of-a-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{minimum rank of a graph}}, year = {2026}, url = {https://4ort.xyz/entity/minimum-rank-of-a-graph}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): minimum rank of a graph — https://4ort.xyz/entity/minimum-rank-of-a-graph (retrieved 2026-05-03)

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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. 25d ago · KrBot bot · 2026-07-30 view diff on Wikidata ↗
    Wikidata description → smallest rank of any generalized adjacency matrix
    Maintained by wikiproject → WikiProject Mathematics
    Instance of → graph property
    Less than → number of vertices, intersection number
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaimvalue:1| */ [[Property:P5135]]: [[Q16628701]], разрешение перенаправления / resolving redirect [[Q65556227]] → [[Q16628701]] ([[:toollabs:editgroups/b/KrBotResolvingRedirect/Q65556227_Q16"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.