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Sperner Matroid

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Abstract.

We prove a generalization and completion of Lovász’s matroid version of Sperner’s lemma. The generalization complements the Lovász’s theorem in two aspects: one concerns an arbitrary matroid while the other is the assertion of oddness.

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Authors and Affiliations

  1. Department of Applied Mathematics, Chung Yuan Christian University, 320, Chung Li, Taiwan

    Shyh-Nan Lee

  2. Department of Mathematics, National Taiwan Normal University, 88 Sec. 4, Ting Chou Road, 116, Taipei, Taiwan

    Mau-Hsiang Shih

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  1. Shyh-Nan Lee
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  2. Mau-Hsiang Shih
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Received: 3 July 2001; revised manuscript accepted: 30 January 2002

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Lee, SN., Shih, MH. Sperner Matroid. Arch. Math. 81, 103–112 (2003). https://doi.org/10.1007/s00013-003-0528-3

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  • DOI: https://doi.org/10.1007/s00013-003-0528-3

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