crossing number

the smallest number of edge crossings possible in a drawing of a node-link graph
Thing graph_property Q266775
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crossing number

Summary

crossing number is a graph property[1]. It draws 39 Wikipedia views per month (graph_property category, ranking #13 of 43).[2]

Key Facts

  • crossing number's instance of is recorded as graph property[3].
  • crossing number's subclass of is recorded as non-negative integer[4].
  • crossing number's Freebase ID is recorded as /m/04cx07j[5].
  • crossing number's described at URL is recorded as https://www.findstat.org/StatisticsDatabase/St000323[6].
  • crossing number's different from is recorded as Kreuzungszahl[7].
  • crossing number's different from is recorded as Crossing number[8].
  • crossing number's defining formula is recorded as \textrm{cr}(K_{m,n}) \le \left\lfloor\frac{n}{2}\right\rfloor\left\lfloor\frac{n-1}{2}\right\rfloor\left\lfloor\frac{m}{2}\right\rfloor\left\lfloor\frac{m-1}{2}\right\rfloor[9].
  • crossing number's studied by is recorded as graph theory[10].
  • crossing number's MathWorld ID is recorded as GraphCrossingNumber[11].
  • crossing number's greater than is recorded as skewness[12].
  • crossing number's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • crossing number's Microsoft Academic ID is recorded as 42574938[14].

Why It Matters

crossing number draws 39 Wikipedia views per month (graph_property category, ranking #13 of 43).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[15] It is known by 4 alternative names across languages and contexts.[16]

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] . Freebase Data Dumps. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . arxiv.org. arxiv.org. Provenance: wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] . Wikidata sitelinks. wikidata.org.
  3. [16] . 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). crossing number. Retrieved May 3, 2026, from https://4ort.xyz/entity/crossing-number
MLA “crossing number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/crossing-number.
BibTeX @misc{4ortxyz_crossing-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{crossing number}}, year = {2026}, url = {https://4ort.xyz/entity/crossing-number}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): crossing number — https://4ort.xyz/entity/crossing-number (retrieved 2026-05-03)

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