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Traced back to the Stirling and Bell numbers, the theory of set partitions has been one of the most fascinating objects of enumerative combinatorics with va
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Traced back to the Stirling and Bell numbers, the theory of set partitions has been one of the most fascinating objects of enumerative combinatorics with vast amount of literature.To denote, or to be connected to combinatorial statistics and other convenient tools, any partition of a finite set may be represented by either the standard representation (see, say, Chen et al, Trans.Amer.Math.Soc.(2007)(4): 1555-75)or the canonical sequential form which is also known as the restricted growth function (Milne,Advances in Math.
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