utility graph

complete bipartite graph with 3 vertices in each independent set
Thing balanced_biclique Q123375397
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utility graph

Summary

utility graph is a balanced biclique[1].

Key Facts

  • utility graph's image is recorded as Biclique K 3 3 bicolor.svg[2].
  • utility graph's instance of is recorded as balanced biclique[3].
  • utility graph's instance of is recorded as toroidal graph[4].
  • utility graph's instance of is recorded as integral graph[5].
  • utility graph's instance of is recorded as apex graph[6].
  • utility graph's instance of is recorded as Laman graph[7].
  • utility graph's instance of is recorded as Hamiltonian graph[8].
  • utility graph's instance of is recorded as cubic graph[9].
  • utility graph's instance of is recorded as triconnected graph[10].
  • utility graph's instance of is recorded as Möbius ladder[11].
  • three utilities problem is named after utility graph[12].
  • Hans Peter Jørgen Julius Thomsen is named after utility graph[13].
  • house is named after utility graph[14].
  • water well is named after utility graph[15].
  • utility graph's has use is recorded as Kuratowski's theorem[16].
  • utility graph's Commons category is recorded as Utility graph[17].
  • utility graph's has characteristic is recorded as crossing number[18].
  • utility graph's has characteristic is recorded as toroidal crossing number[19].
  • utility graph's has part is recorded as node[20].
  • utility graph's has part is recorded as edge[21].
  • utility graph's MathWorld ID is recorded as UtilityGraph[22].
  • utility graph's Wolfram Language entity code is recorded as Entity["Graph", "UtilityGraph"][23].
  • utility graph's does not have characteristic is recorded as planar graph[24].
  • utility graph's graph radius is recorded as {'unit': '1', 'amount': '+2'}[25].
  • utility graph's graph diameter is recorded as {'unit': '1', 'amount': '+2'}[26].

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . House of Graphs. 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] . House of Graphs. wikidata.org.
  25. [26] . House of Graphs. wikidata.org.

Class ancestry

  1. [1] . Wikidata. 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). utility graph. Retrieved May 3, 2026, from https://4ort.xyz/entity/utility-graph
MLA “utility graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/utility-graph.
BibTeX @misc{4ortxyz_utility-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{utility graph}}, year = {2026}, url = {https://4ort.xyz/entity/utility-graph}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): utility graph — https://4ort.xyz/entity/utility-graph (retrieved 2026-05-03)

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