Packing Patterns into Words

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چکیده

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Packing Patterns into Words

In this article we generalize packing density problems from permutations to patterns with repeated letters and generalized patterns. We are able to find the packing density for some classes of patterns and several other short patterns. A string 213322 contains three subsequences 233, 133, 122 each of which is orderisomorphic (or simply isomorphic) to the string 122, i.e. ordered in the same way...

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Packing density is a permutation occurrence statistic which describes the maximal number of permutations of a given type that can occur in another permutation. In this article we focus on containment of sets of permutations. Although this question has been tangentially considered previously, this is the first systematic study of it. We find the packing density for various special sets of permut...

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Packing Densities of Patterns

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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2003

ISSN: 1077-8926

DOI: 10.37236/1692