Juxtaposing Catalan permutation classes with monotone ones
classification
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keywords
permutationclassesdecorateddyckjuxtapositionlengthpathscatalan
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This paper enumerates all juxtaposition classes of the form "Av($abc$) next to Av($xy$)", where $abc$ is a permutation of length three and $xy$ is a permutation of length two. We use Dyck paths decorated by sequences of points to represent elements from such a juxtaposition class. Context-free grammars are then used to enumerate these decorated Dyck paths.
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