On the adjacent cycle derangements (Q1935976)
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scientific article; zbMATH DE number 6137696
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the adjacent cycle derangements |
scientific article; zbMATH DE number 6137696 |
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On the adjacent cycle derangements (English)
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21 February 2013
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Summary: A derangement, that is, a permutation without fixed points, of a finite set is said to be an adjacent cycle when all its cycles are formed by a consecutive set of integers. In this paper we determine enumerative properties of these permutations using analytical and bijective proofs. Moreover a combinatorial interpretation in terms of linear species is provided. Finally we define and investigate the case of the adjacent cycle derangements of a multiset.
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derangement
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permutation without fixed points
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cycles
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enumerative properties
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analytical proofs
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bijective proofs
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linear species
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adjacent cycle derangements
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multiset
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