Discrete Mathematics & Theoretical Computer Science, Vol 4, No 2 (2001)

Font Size:  Small  Medium  Large

A permutations representation that knows what "Eulerian" means

Roberto Mantaci, Fanja Rakotondrajao


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.

Full Text: GZIP Compressed PostScript PostScript PDF original HTML abstract page