6533b835fe1ef96bd129e742

RESEARCH PRODUCT

ECO-generation for some restricted classes of compositions

Jean-luc BarilPhan-thuan Do

subject

[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]succession ruleComposition of an integerECO method[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]lcsh:Electronic computers. Computer science[ MATH.MATH-CO ] Mathematics [math]/Combinatorics [math.CO]generating treepattern avoiding permutationlcsh:QA75.5-76.95

description

International audience; We study several restricted classes of compositions by giving one-to-one maps between them and different classes of restricted binary strings or pattern avoiding permutations. Inspired by the ECO method, new succession rules for these classes are presented. Finally, we obtain generating algorithms in Constant Amortized Time (CAT) for theses classes.

https://hal-univ-bourgogne.archives-ouvertes.fr/hal-00785278