Standard Paths in the Composition Poset

نویسندگان

  • François Bergeron
  • Mireille Bousquet-Mélou
  • Serge Dulucq
چکیده

We study different problems of enumeration of standard paths in the poset of compositions of integers. We show that several problems similar to those considered in the poset of partitions of integers become simpler in this context. We give explicit formulas for generating functions of standard paths in this poset and interesting subposets, and a closed formula for the number of standard paths ending at a given composition.

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تاریخ انتشار 1999