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Mixed succession rules: the commutative case
- Publication Year :
- 2008
-
Abstract
- We begin a systematic study of the enumerative combinatorics of mixed succession rules, which are succession rules such that, in the associated generating tree, the nodes are allowed to produce their sons at several different levels according to different production rules. Here we deal with a specific case, namely that of two different production rules whose rule operators commute. In this situation, we are able to give a general formula expressing the sequence associated with the mixed succession rules in terms of the sequences associated with the component production rules. We end by providing some examples illustrating our approach.<br />Comment: 28 pages, submitted
- Subjects :
- Mathematics - Combinatorics
05A10
05A15
05A16
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0806.0799
- Document Type :
- Working Paper