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#sperner's_lemma

Sperner's lemma

Theorem on triangulation graph colorings

In mathematics, Sperner's lemma is a combinatorial result on colorings of triangulations, analogous to the Brouwer fixed point theorem, which is equivalent to it. It states that every Sperner coloring of a triangulation of an -dimensional simplex contains a cell whose vertices all have different colors.

Wed 28th

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Sperner's lemma Sperner's theorem Knaster–Kuratowski–Mazurkiewicz lemma Handshaking lemma Emanuel Sperner Lemma (mathematics) Brouwer fixed-point theorem Hairy ball theorem Borsuk–Ulam theorem Hall's marriage theorem
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