friendship theorem

if every pair of people has exactly one common friend, then one person is friends with everyone
Intangible theorem Q136659923
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friendship theorem

Summary

friendship theorem is a theorem[1]. It draws 2 Wikipedia views per month (theorem category, ranking #275 of 1,306).[2]

Key Facts

  • friendship theorem's instance of is recorded as theorem[3].
  • friendship is named after friendship theorem[4].
  • friendship theorem's facet of is recorded as friendship graph[5].
  • friendship theorem's facet of is recorded as universal vertex[6].
  • friendship theorem's different from is recorded as theorem on friends and strangers[7].
  • friendship theorem's statement describes is recorded as finite graph[8].
  • friendship theorem's introduced in is recorded as On a problem of graph theory[9].
  • friendship theorem's Metamath statement ID is recorded as friendship[10].

Why It Matters

friendship theorem draws 2 Wikipedia views per month (theorem category, ranking #275 of 1,306).[2]

📑 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). friendship theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/friendship-theorem
MLA “friendship theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/friendship-theorem.
BibTeX @misc{4ortxyz_friendship-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{friendship theorem}}, year = {2026}, url = {https://4ort.xyz/entity/friendship-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): friendship theorem — https://4ort.xyz/entity/friendship-theorem (retrieved 2026-05-03)

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