On the enumeration of d-minimal permutations

We suggest an approach for the enumeration of minimal permutations having d descents which uses skew Young tableaux. We succeed in finding a general expression for the number of such permutations in terms of (several) sums of determinants. We then generalize the class of skew Young tableaux under consideration; this allows in particular to discover some presumably new results concerning Eulerian numbers.

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Mathilde Bouvel, Luca Ferrari
• Keywords: CORR 2010, Education, Eulerian Numbers, Minimal Permutations, Skew Young Tableaux