A counting lemma and multiple combinatorial Stokes' theorem (Q1277318)

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scientific article; zbMATH DE number 1248171
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A counting lemma and multiple combinatorial Stokes' theorem
scientific article; zbMATH DE number 1248171

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    A counting lemma and multiple combinatorial Stokes' theorem (English)
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    29 September 1999
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    In attempting to give a common generalization of the Sperner lemma and of the Tucker lemma, \textit{K. Fan} [J. Comb. Theory 2, 588-602 (1967; Zbl 0149.41302)] proved a more general form of the combinatorial Stokes' theorem. However, his formula is only concerned with a single labeling. In the present paper, by using a counting lemma related to bipartite digraphs, the authors prove a multiple combinatorial Stokes' theorem.
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    counting lemma
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    bipartite digraphs
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    multiple combinatorial Stokes' theorem
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