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{\bf Thomas Enkosky}
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{\bf Counting Points of Slope Varieties over Finite Fields}
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The slope variety of a graph is an algebraic set whose points
correspond to drawings of that graph.  A complement-reducible graph
(or cograph) is a graph without an induced four-vertex path.  We
construct a bijection between the zeroes of the slope variety of the
complete graph on $n$ vertices over $\mathbb{F}_2$, and the
complement-reducible graphs on $n$ vertices.

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