Mixed succession rules: the commutative case

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dc.creatorBacchelli, Silvia
dc.creatorFerrari, Luca
dc.creatorPinzani, Renzo
dc.creatorSprugnoli, Renzo
dc.date2008-06-04
dc.date.accessioned2026-07-07T09:42:41Z
dc.date.available2026-07-07T09:42:41Z
dc.descriptionWe 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.
dc.description28 pages, submitted
dc.identifierhttps://arxiv.org/abs/0806.0799
dc.identifierhttp://arxiv.org/abs/0806.0799
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162271
dc.subjectCombinatorics
dc.subject05A10; 05A15; 05A16
dc.titleMixed succession rules: the commutative case
dc.typetext

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