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Road coloring problem

theorem that every aperiodic strongly-connected out-regular directed graph can be labeled to give a synchronizable deterministic finite automaton
Intangible theorem Q1937896
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Road coloring problem

Summary

Road coloring problem is a theorem[1]. It draws 4 Wikipedia views per month (theorem category, ranking #273 of 1,306).[2]

Key Facts

  • Road coloring problem's instance of is recorded as theorem[3].
  • Road coloring problem's Freebase ID is recorded as /m/0h7r36[4].
  • Road coloring problem's solved by is recorded as Avraham Trahtman[5].
  • Road coloring problem's MathWorld ID is recorded as RoadColoringProblem[6].
  • Road coloring problem's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • Road coloring problem's Microsoft Academic ID is recorded as 2778946484[8].

Why It Matters

Road coloring problem draws 4 Wikipedia views per month (theorem category, ranking #273 of 1,306).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[9] It is known by 9 alternative names across languages and contexts.[10]

Related Entities

Avraham Trahtman

References

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

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . Freebase Data Dumps. wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . Wikidata sitelinks. wikidata.org.
  3. [10] ↑ . 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). Road coloring problem. Retrieved May 3, 2026, from https://4ort.xyz/entity/road-coloring-problem
MLA “Road coloring problem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/road-coloring-problem.
BibTeX @misc{4ortxyz_road-coloring-problem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Road coloring problem}}, year = {2026}, url = {https://4ort.xyz/entity/road-coloring-problem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Road coloring problem — https://4ort.xyz/entity/road-coloring-problem (retrieved 2026-05-03)

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