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On avoidance of V- and ^-patterns in permutations.

Ars Comb., 2010
We 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
openaire   +2 more sources

The undirected repetition threshold and undirected pattern avoidance

Theoretical Computer Science, 2021
Lucas Mol
exaly  

Edge colorings avoiding patterns

European Journal of Combinatorics
Assume 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 ...
openaire   +4 more sources

Metric dimension and pattern avoidance in graphs

Discrete Applied Mathematics, 2020
Jesse T. Geneson
exaly  

Multi-avoidance of generalised patterns

Discrete Mathematics, 2003
Sergey Kitaev
exaly  

Some results on the avoidance of vincular patterns by multisets

Discrete Applied Mathematics, 2015
Toufik Mansour
exaly  

Spherical Schubert varieties and pattern avoidance

Selecta Mathematica, New Series, 2022
exaly  

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