• 제목/요약/키워드: embroidered permutation

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COMBINATORIAL ENUMERATION OF THE REGIONS OF SOME LINEAR ARRANGEMENTS

  • Seo, Seunghyun
    • 대한수학회보
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    • 제53권5호
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    • pp.1281-1289
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    • 2016
  • Richard Stanley suggested the problem of finding combinatorial proofs of formulas for counting regions of certain hyperplane arrangements defined by hyperplanes of the form $x_i=0$, $x_i=x_j$, and $x_i=2x_j$ that were found using the finite field method. We give such proofs, using embroidered permutations and linear extensions of posets.