Many combinatorial structures can be constructed from simpler components. For example, a permutation can be constructed from cycles, or a Motzkin word from a Dyck word and a combination. In this paper we present a constructor for combinatorial structures, called shu e on trajectories (deΓΏned previou
An algorithm for compositions of a multiset
β Scribed by Peter H Sellers
- Book ID
- 107884876
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 491 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A multiset M is a finite set consisting of several different kinds of elements, and an antichain F is a set of incomparable subsets of M. With P and \_F denoting respectively the set of subsets which contain an element of F or are contained in an element of F, we find the best upper bound for min(lF
The purpose of this paper is to present some enumerative results concerning the class k of permutations of the multiset 1 m 1 2 m 2 r m r having inversion number congruent to k modulo n, with n = m 1 + m 2 + β’ β’ β’ + m r and 0 β€ k < n. We show that the enumeration of this family of permutations is co