Abstract
In 1950 a class of generalized Petersen graphs was introduced by Coxeter and around 1970 popularized by Frucht, Graver and Watkins. The family of <TEX>$I$</TEX>-graphs mentioned in 1988 by Bouwer et al. represents a slight further albeit important generalization of the renowned Petersen graph. We show that each <TEX>$I$</TEX>-graph <TEX>$I(n,j,k)$</TEX> admits a unit-distance representation in the Euclidean plane. This implies that each generalized Petersen graph admits a unit-distance representation in the Euclidean plane. In particular, we show that every <TEX>$I$</TEX>-graph <TEX>$I(n,j,k)$</TEX> has an isomorphic <TEX>$I$</TEX>-graph that admits a unit-distance representation in the Euclidean plane with a <TEX>$n$</TEX>-fold rotational symmetry, with the exception of the families <TEX>$I(n,j,j)$</TEX> and <TEX>$I(12m,m,5m)$</TEX>, <TEX>$m{\geq}1$</TEX>. We also provide unit-distance representations for these graphs.
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