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Zhousheng Mei, Suijie Wang
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Strict bounds for pattern avoidance [PDF]
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F Blanchet-Sadri
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Pattern avoidance in “flattened” partitions
To flatten a set partition (with apologies to Mathematica) means to form a permutation by erasing the dividers between its blocks. Of course, the result depends on how the blocks are listed. For the usual listing--increasing entries in each block and blocks arranged in increasing order of their first entries--we count the partitions of [n] whose ...
David Callan
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Pattern Avoidance and Overlap in Strings
Combinatorics, Probability and Computing, 2002Consider a finite alphabet Ω and patterns which consist of characters from Ω. For a given pattern w, let cor(w) denote its autocorrelation, which can be seen as a measure of the amount of overlap in w. Letting aw(n) denote the number of strings over Ω of length n which do not contain w as a substring, the main result of this paper is: If cor(w) >
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2019
So far this book has mostly focused on what we should do. It is also helpful to discuss the things we should not do. This chapter contains a list of anti-patterns – programming concepts and styles that we should avoid.
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So far this book has mostly focused on what we should do. It is also helpful to discuss the things we should not do. This chapter contains a list of anti-patterns – programming concepts and styles that we should avoid.
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On avoidance of V- and ^-patterns in permutations.
Ars Comb., 2010We study V- and ^-patterns which generalize valleys and peaks, as well as increasing and decreasing runs, in permutations. A complete classi¯cation of permutations (multi)-avoiding V- and ¤-patterns of length 4 is given. We also establish a connection between restricted permutations and matchings in the coronas of complete graphs.
Kitaev, Sergey, Pyatkin, Artem
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The undirected repetition threshold and undirected pattern avoidance
Theoretical Computer Science, 2021Lucas Mol
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