Camillo Herbert Grötzsch was a German mathematician who lived from 1902 to 1993 and is known primarily for his work on complex analysis, specifically univalent functions and conformal mappings, and on graph theory. He was the first to introduce the concept of a quasiconformal mapping. He is also the discoverer and eponym of the Grötzsch graph, a triangle-free graph that needs four colors in any graph coloring, and of Grötzsch's theorem, the result that every triangle-free planar graph requires at most three colors. The entry is written from the lead of his English Wikipedia article.
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Source Grötzsch Graph (Wikipedia)
In Branch
Source Herbert Grötzsch (Wikipedia)
Mentored By
Source Herbert Grötzsch (Wikipedia)
Principal Result
Source Herbert Grötzsch (Wikipedia)
Source Herbert Grötzsch (Wikipedia)
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Source Herbert Grötzsch (Wikipedia)Lead, nationalityQuote, Lead, nationality
was a German mathematician
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1. Herbert Grötzsch (Wikipedia)
Lead, dates
21 May 1902
Lead, nationality
was a German mathematician
In Branch: Complex Analysis, Lead, field
known primarily for his work on complex analysis
Principal Result: Grotzsch's Theorem, Lead, principal theorem
Grötzsch's theorem, the result that every triangle-free planar graph requires at most three colors
Principal Result: Grötzsch Graph, Lead, principal object
the Grötzsch graph, a triangle-free graph that requires four colors in any graph coloring
Mentored By: Paul Koebe, Biography, studies
Grötzsch studied mathematics at the University of Jena from 1922 to 1926 under Paul Koebe
View the SourceGrötzsch Graph (Wikipedia)
Attributed Works: Grötzsch Graph, Lead sentenceQuote, Attributed Works: Grötzsch Graph, Lead sentence
It is named after German mathematician Herbert Grötzsch, who used it as an example in connection with his 1959 theorem that planar triangle-free graphs are 3-colorable.
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