Erdős number concept

E554296

bibliometric indicator collaboration distance measure mathematical concept

The Erdős number concept is a measure of collaborative distance in mathematical research, indicating how many coauthorship links separate a given author from the prolific Hungarian mathematician Pál Erdős.

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Observed surface forms (1)

Surface form	Occurrences
Erdős number	1

Statements (46)

Predicate	Object
instanceOf	bibliometric indicator ⓘ collaboration distance measure ⓘ mathematical concept ⓘ
appliesTo	authors of mathematical research papers ⓘ
assumes	coauthored works are documented in bibliographic databases ⓘ coauthorship as a symmetric relation ⓘ
baseCaseDescription	Pál Erdős himself has Erdős number 0 ⓘ
basedOn	graph theory ⓘ
defines	Erdős number 0 ⓘ Erdős number 1 ⓘ Erdős number 2 ⓘ Erdős number n ⓘ
describes	collaborative distance in mathematical authorship ⓘ
domain	mathematics ⓘ network science ⓘ scientometrics ⓘ
formalizedAs	distance metric on the induced subgraph of authors connected to Pál Erdős ⓘ
hasAlternativeName	Erdős number NERFINISHED ⓘ
hasBaseCase	Erdős number 0 ⓘ
hasConstraint	only joint authorship on scholarly works counts as an edge ⓘ
hasCulturalImpact	popular among mathematicians and scientists as a measure of collaborative closeness to Erdős ⓘ
hasDefinition	the length of the shortest coauthorship path between a given author and Pál Erdős ⓘ
hasHistoricalContext	developed in the late 20th century as Erdős’s collaboration network became widely studied ⓘ
hasNotation	Erdős number NERFINISHED ⓘ
hasProperty	depends on the underlying publication database used ⓘ non‑authors or authors not connected by coauthorship to Erdős have undefined or infinite Erdős number ⓘ values can change as new coauthored papers are published or discovered ⓘ
hasValueType	non‑negative integer ⓘ
inspired	similar collaboration distance measures for other scientists and artists ⓘ
isSubconceptOf	academic collaboration metrics ⓘ collaboration distance ⓘ
measurementUnit	steps in a coauthorship graph ⓘ
namedAfter	Pál Erdős NERFINISHED ⓘ
number1Description	authors who coauthored a paper directly with Pál Erdős have Erdős number 1 ⓘ
number2Description	authors who coauthored with an Erdős‑1 author but not with Erdős directly have Erdős number 2 ⓘ
originatedFrom	study of Pál Erdős’s extensive coauthorships ⓘ
recursiveDefinition	an author has Erdős number n+1 if they coauthored with at least one author of Erdős number n and have no smaller Erdős number ⓘ
relatedTo	Bacon number concept ⓘ Erdős–Bacon number concept NERFINISHED ⓘ academic genealogy ⓘ coauthorship network ⓘ
representedAs	shortest‑path length in a coauthorship network graph ⓘ
usedFor	illustrating small‑world phenomena in scientific collaboration ⓘ informal prestige or novelty in mathematical culture ⓘ studying collaboration networks in mathematics ⓘ
usesRelation	coauthorship of research papers ⓘ

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Pál Erdős → knownFor → Erdős number concept ⓘ

Six Degrees of Kevin Bacon → hasRelatedConcept → Erdős number concept ⓘ

this entity surface form: Erdős number