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maximum vertex degree

maximum number of edges that a vertex is incident to
Thing graph_property Q9346061
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Summary

maximum vertex degree is a graph property[1]. It is known by 11 alternative names across languages and contexts.[2]

Key Facts

  • Subclass of: non-negative integer[3], maximum[4], degree[5]
  • Different from: degree[6]
  • Uses: degree[7]
  • Exact match: http://konect.cc/statistics/maxdegree/[8]
  • Greater than: degeneracy[9]
  • Less than: edge chromatic number[10], harmonious chromatic number[11], total chromatic number[12], incidence chromatic number[13], carving width[14]
  • Maintained by WikiProject: WikiProject Mathematics[15]

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] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . On the harmonious chromatic number of a graph. wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . Incidence and strong edge colorings of graphs. wikidata.org.
  12. [14] ↑ . Comparing 17 graph parameters. wikidata.org.
  13. [15] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikidata aliases. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). maximum vertex degree. Retrieved October 16, 2026, from https://4ort.xyz/entity/maximum-vertex-degree
MLA “maximum vertex degree.” 4ort.xyz Knowledge Graph, 4ort.xyz, 16 Oct. 2026, https://4ort.xyz/entity/maximum-vertex-degree.
BibTeX @misc{4ortxyz_maximum-vertex-degree_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{maximum vertex degree}}, year = {2026}, url = {https://4ort.xyz/entity/maximum-vertex-degree}, note = {Accessed: 2026-10-16}}
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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. 11d ago · KrBot bot · 2026-10-08 view diff on Wikidata ↗
    Maintained by wikiproject → WikiProject Mathematics
    Wikidata description → maximum number of edges that a vertex is incident to
    Uses → degree
    Subclass of → non-negative integer, maximum, degree
    + 12 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-update:1| */ Criterion used: less than or equal to, разрешение перенаправления / resolving redirect less than or equal to → less than or equal to ([[:toollabs:editgroups/b/KrBotResol"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.