Counting points of slope varieties over finite fields (Q625361)

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Counting points of slope varieties over finite fields
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    Counting points of slope varieties over finite fields (English)
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    17 February 2011
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    Summary: 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 complementreducible graphs on \(n\) vertices.
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    slope variety
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    complement reducible graph
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    cograph
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