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{\bf Anna de Mier}
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{\bf On the Symmetry of the Distribution of $k$-Crossings and $k$-Nestings in Graphs}
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This note contains two results on the distribution of $k$-crossings
and $k$-nestings in graphs. On the positive side, we exhibit a class
of graphs for which there are as many $k$-noncrossing $2$-nonnesting
graphs as $k$-nonnesting $2$-noncrossing graphs. This class consists
of the graphs on $[n]$ where each vertex $x$ is joined to at most one
vertex $y$ with $y