We study a generalization of the concept of succession rule, called jumping succession rule, where each label is allowed to produce its sons at di1erent levels, according to the production of a mixed succession rule. By means of suitable linear algebraic methods, we obtain simple closed forms for the numerical sequences determined by such rules and give applications concerning classical combinatorial structures. Some open problems are proposed at the end of the paper.
Ferrari, L., Pergola, E., Pinzani, S., Rinaldi, S. (2003). Jumping succession rules and their generating functions. DISCRETE MATHEMATICS, 27(1), 29-50 [10.1016/S0012-365X(02)00868-3].
Jumping succession rules and their generating functions
Rinaldi S.
2003-01-01
Abstract
We study a generalization of the concept of succession rule, called jumping succession rule, where each label is allowed to produce its sons at di1erent levels, according to the production of a mixed succession rule. By means of suitable linear algebraic methods, we obtain simple closed forms for the numerical sequences determined by such rules and give applications concerning classical combinatorial structures. Some open problems are proposed at the end of the paper.
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https://hdl.handle.net/11365/37812
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