Mathematics – Combinatorics
Scientific paper
2010-10-10
Mathematics
Combinatorics
9 pages, 5 figures
Scientific paper
The slope variety of a graph is an algebraic set whose points correspond to
drawings of a 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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