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arxiv: 1503.06601 · v2 · pith:NQSVL7KWnew · submitted 2015-03-23 · 🧮 math.CO

Stirling permutations, cycle structures of permutations and perfect matchings

classification 🧮 math.CO
keywords permutationscombinatorialcyclematchingsmy-sequencesperfectstirlingstructures
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In this paper we provide a unified combinatorial approach to establish a connection between Stirling permutations, cycle structures of permutations and perfect matchings. The main tool of our investigations is MY-sequences. In particular, we discover that the Eulerian polynomials have a simple combinatorial interpretation in terms of some statistics on MY-sequences.

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