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Herbert Grötzsch

From Wikipedia, the free encyclopedia

Herbert Grötzsch (right) on his 86th birthday in Halle, with Horst Tietz [de]

Camillo Herbert Grötzsch (21 May 1902 – 15 May 1993) was a German mathematician. He was born in Döbeln and died in Halle. Grötzsch worked in graph theory. He was the discoverer and eponym of the Grötzsch graph, a triangle-free graph that requires four colors in any graph coloring, and Grötzsch's theorem, the result that every triangle-free planar graph requires at most three colors. A student of Paul Koebe, he made important contributions to the theory of conformal mappings and univalent functions: he was the first to introduce the concept of a quasiconformal mapping.

The Grötzsch graph

Publications

  • Herbert Grötzsch, Über die Verzerrung bei schlichten nicht-konformen Abbildungen und über eine damit zusammenhängende Erweiterung des Picardschen Satzes, Sitzungsberichte sächs. Akad. Wiss., Math.-Phys. Klasse, vol. 80, 1928, pp. 503–507

References

  • Herbert Grötzsch at the Mathematics Genealogy Project
  • Jenkins, James A. (1958), Univalent functions and conformal mapping., Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 18, Springer-Verlag
  • Reiner Kühnau, Herbert Grötzsch zum Gedächtnis. Jahresbericht der Deutschen Mathematiker-Vereinigung, vol. 99, 1997, pp. 122–145 (1997)
  • Reiner Kühnau, Einige neuere Entwicklungen bei quasikonformen Abbildungen. Jahresbericht Deutscher Mathematikervereinigung, vol. 94, pp. 141–192 (1992)
  • Horst Tietz, Herbert Grötzsch in Marburg. Jahresbericht der Deutschen Mathematiker-Vereinigung, vol. 99, 1997, pp. 146–148

External links

This page was last edited on 26 January 2022, at 22:08
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