Roberto Mantaci ; Fanja Rakotondrajao - A permutations representation that knows what "Eulerian" means

dmtcs:271 - Discrete Mathematics & Theoretical Computer Science, January 1, 2001, Vol. 4 no. 2 - https://doi.org/10.46298/dmtcs.271
A permutations representation that knows what "Eulerian" meansArticle

Authors: Roberto Mantaci 1; Fanja Rakotondrajao ORCID2

  • 1 Laboratoire d'informatique Algorithmique : Fondements et Applications
  • 2 Département de Mathématiques [Antananarivo]

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 \emphsubexceedant functions.


Volume: Vol. 4 no. 2
Published on: January 1, 2001
Imported on: March 26, 2015
Keywords: Permutations,subexceedant functions,exceedances,Eulerian numbers,derangements,parity of a permutaion,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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