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Mathematician

Herbert Grötzsch

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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.

Facts
Birth Year
1902 1
Connections

Attributed Works

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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Nationality

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Source Herbert Grötzsch (Wikipedia)Lead, nationality
Quote, Lead, nationality
was a German mathematician
Sources
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 Source
Grötzsch Graph (Wikipedia)
Attributed Works: Grötzsch Graph, Lead sentence
Quote, 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.
View the Source

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