Descent classes of permutations with a given number of fixed points
✍ Scribed by Jacques Désarménien; Michelle L Wachs
- Book ID
- 107885208
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 781 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let \_ # S k and { # S n be permutations. We say { contains \_ if there exist Stanley and Wilf conjectured that for any \_ # S k there exists a constant c=c(\_) such that F(n, \_) c n for all n. Here we prove the following weaker statement: For every fixed \_ # S k , F(n, \_) c n#\* (n) , where c=c
We develop a constant amortized time (CAT) algorithm for generating permutations with a given number of inversions. We also develop an algorithm for the generation of permutations with given index.
Let S be a finite set and u a permutation on S. The permutation u\* on the set of 2-subsets of S is naturally induced by u. Suppose G is a graph and V(G), €(G) are the vertex set, the edge set, respectively. Let V(G) = S. If €(G) and u\*(€(G)), the image of €(G) by u\*, have no common element, then