• Title/Summary/Keyword: combinatorial

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THE EXISTENCE OF (n,r,t,k)-ARRANGEMENTS

  • Jeong, Dal-Young
    • Communications of the Korean Mathematical Society
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    • v.14 no.1
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    • pp.19-29
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    • 1999
  • B. Gr nbaum defined the arrangements of simple curves and got many combinatorial properties. In this paper, we studied the existence of (n,r,t,k)-arrangements and the existence of digon-free(n,r,t,k)-arrangements, which is a generalized version of Gr nbaum`s definition.

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SCHENSTED INSERTION AND DELETION ALGORITHMS FOR SHIFTED RIM HOOK TABLEAUX

  • Lee, Jaejin
    • Korean Journal of Mathematics
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    • v.14 no.1
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    • pp.125-136
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    • 2006
  • Using the Bumping algorithm for the shifted rim hook tableaux described in [5], we construct Schensted insertion and deletion algorithms for shifted rim hook tableaux. This may give us the combinatorial proof for the orthogonality of the second kind of the spin characters of $S_n$.

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