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complete multipartite graph

k-partite graph with maximum number of edges
Class type of: multipartite graph, co-paw-free graph, cograph Q127508598

Facts

2 properties
Subclass of
multipartite graph, co-paw-free graph, cograph, co-strongly chordal graph, co-gridline graph, co-trivially perfect graph[1][2][3][4][5][6]
Opposite of
cluster graph[7]
🏷️ Also known as
en co-cluster graph en complete k-partite graph en complete multipartite graph de vollständig k-partiter Graph de vollständig multipartiter Graph ru полный многодольный граф
🔖 Identifiers · 4
Image (Wikimedia Commons)
Complex tripartite graph octahedron.svg ↗
Graphclasses.org ID
gc_1249, gc_1271, gc_1248
MathWorld ID
CompleteMultipartiteGraph
Wolfram Language entity code
Entity["GraphClass", "CompleteKPartite"]

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References

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

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . wikidata.org.
  6. [6] ↑ . wikidata.org.
  7. [7] ↑ . wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). complete multipartite graph. Retrieved November 8, 2026, from https://4ort.xyz/entity/complete-multipartite-graph
MLA “complete multipartite graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 8 Nov. 2026, https://4ort.xyz/entity/complete-multipartite-graph.
BibTeX @misc{4ortxyz_complete-multipartite-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{complete multipartite graph}}, year = {2026}, url = {https://4ort.xyz/entity/complete-multipartite-graph}, note = {Accessed: 2026-11-08}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): complete multipartite graph — https://4ort.xyz/entity/complete-multipartite-graph (retrieved 2026-11-08)

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