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arXiv · 1607.03018

Occurrence graphs of patterns in permutations

Bjarni Jens Kristinsson·Henning Ulfarsson
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Abstract

We define the \emph{occurrence graph} $G_p(π$) of a pattern $p$ in a permutation $π$ as the graph with the occurrences of $p$ in $π$ as vertices and edges between the vertices if the occurrences differ by exactly one element. We then study properties of these graphs. The main theorem in this paper is that every \emph{hereditary property} of graphs gives rise to a \emph{permutation class}.

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Bjarni Jens Kristinsson, Henning Ulfarsson. 2016-07-11. Occurrence graphs of patterns in permutations. https://doi.org/10.2140/involve.2019.12.901

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