Grötzschs

Grötzschs is the plural form of the German surname Grötzsch and may refer to several people who bear the name. The surname is of German origin; in texts without umlauts it is often written as Grotzsch.

The most notable bearer in academic contexts is Herbert Grötzsch, a German mathematician known for his work in graph theory. He is best remembered for Grötzsch's theorem, which states that every triangle-free planar graph is 3-colorable. The theorem is a foundational result in the area of graph coloring and planar graphs, and it has influenced further research into coloring problems, girth constraints, and algorithmic applications.

In general usage, the surname Grötzsch appears in scholarly citations and historical references to the mathematician and to discussions of graph coloring theory. The plural form Grötzschs is simply a way to refer to multiple individuals bearing the surname in English-language writing.

Related topics include Grötzsch's theorem, graph coloring, and planar graphs. The name is written with the umlaut in German, while the ASCII transliteration Grotzsch is commonly used in non-German contexts.