Grötzsch's theorem

proper noun

The statement that every triangle-free planar graph has a coloring using only three colors.

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Meanings

proper noun
  1. graph theoryThe statement that every triangle-free planar graph has a coloring using only three colors.

Origin

Named after German mathematician Herbert Grötzsch, who published a proof in 1959.

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Cite this entry
APA

Grötzsch's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Gr%C3%B6tzsch's%20theorem

MLA

“Grötzsch's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Gr%C3%B6tzsch's%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Grötzsch's theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Gr%C3%B6tzsch's%20theorem.

Source: Grötzsch's theorem on Wiktionary, CC BY-SA 4.0.