In this paper the generalized Fibonacci numbers of order k are combinatorially interpreted, in the context of the theory of linear species of Joyal, as the linear species of k-filtering partitions.
A Combinatorial Interpretation of the Conti–Contucci–Falcolini Polynomial
✍ Scribed by Federico Incitti
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 173 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0195-6698
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✦ Synopsis
Conti et al. defined a two-variable polynomial associated with any rooted tree. In this paper we give an explicit combinatorial interpretation of the coefficients of this polynomial. In order to do this we introduce a special class of subtrees which seem to have never been considered before in the literature.
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