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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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A method for evaluating the degree of spatial and temporal avoidance in spatial point patterns
Journal of Geographical Systems, 2022Sadahiro Yukio
exaly
The undirected repetition threshold and undirected pattern avoidance
Theoretical Computer Science, 2021Lucas Mol
exaly
Edge colorings avoiding patterns
European Journal of CombinatoricsAssume a set \(V\subseteq \mathbb{R}^2\) of order \(n\), where no three points are collinear, is given. A visibility-blocking set is a set \(B\) disjoint from \(V\) such that every segment with endpoints in \(V\) contains a point from \(B\). Here, \(b(V)\) is the minimum cardinality of \(B\) for given \(V\), while \(b(n)\) is the minimum of \(b(V ...
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Metric dimension and pattern avoidance in graphs
Discrete Applied Mathematics, 2020Jesse T. Geneson
exaly
Some results on the avoidance of vincular patterns by multisets
Discrete Applied Mathematics, 2015Toufik Mansour
exaly
Pattern avoidance and smoothness of closures for orbits of a symmetric subgroup in the flag variety
Journal of Algebra, 2009Peter Trapa
exaly

