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{\bf Song-Tao Guo, Jin-Xin Zhou and Yan-Quan Feng}
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{\bf Pentavalent Symmetric Graphs of Order $12p$}
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A graph is said to be {\em symmetric} if its automorphism group acts
transitively on its arcs. In this paper, a complete classification
of connected pentavalent symmetric graphs of order $12p$ is given
for each prime $p$. As a result, a connected pentavalent symmetric
graph of order $12p$ exists if and only if $p=2$, $3$, $5$ or $11$,
and up to isomorphism, there are only nine such graphs: one for each
$p=2$, $3$ and $5$, and six for $p=11$.
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