Title: Classification of Minimal Separating Sets in Low Genus Surfaces,
Abstract: Consider a surface $S$ and let $M\subset S$. If $S\setminus M$ is not
connected, then we say $M$ \emph{separates} $S$, and we refer to $M$ as a
\emph{separating set} of $S$. If $M$ separates $S$, and no proper subset of $M$
separates $S$, then we say $M$ is a \emph{minimal separating set} of $S$. In
this paper we use methods of computational combinatorial topology to classify
the minimal separating sets of the orientable surfaces of genus $g=2$ and
$g=3$. The classification for genus 0 and 1 was done in earlier work, using
methods of algebraic topology.