Discrete Mathematics & Theoretical Computer Science
Volume 4 n° 2 (2001), pp. 101-108
| author: | Mantaci and Roberto and Rakotondrajao and Fanja |
|---|---|
| title: | A permutations representation that knows what "Eulerian" means |
| keywords: | Permutations, subexceedant functions, exceedances, Eulerian numbers, derangements, parity of a permutaion |
| abstract: | Eulerian numbers (and "Alternate Eulerian numbers") are often interpreted as distributions of statistics defined over the Symmetric group. The main purpose of this paper is to define a way to represent permutations that provides some other combinatorial interpretations of these numbers. This representation uses a one-to-one correspondence between permutations and the so-called subexceedant functions. |
| reference: | Mantaci and Roberto and Rakotondrajao and Fanja (2001), A permutations representation that knows what "Eulerian" means, Discrete Mathematics and Theoretical Computer Science 4, pp. 101-108 |
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| ps-source: | dm040203.ps (89 K) |
| pdf-source: | dm040203.pdf (81 K) |
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Automatically produced on Thu May 17 12:14:31 CEST 2001 by ifalk