Bonnington, C. PaulPisanski, Tomaz2009-08-282009-08-282001-09Department of Mathematics - Research Reports-471 (2001)1173-0889http://hdl.handle.net/2292/5157We apply the technique of patchwork embeddings to find orientable genus embeddings of the Cartesian product of a complete regular tripartite graph with a even cycle. In particular, the orientable genus of $kc$ is determined for $m ge 1$ and for all $n ge 3$ and $n = 1$. For $n= 2 both lower and upper bounds are given. we see that the resulting embeddings may have a mixture of triangular and quadrilateral faces, in contrast to previous applications of patchwork method.https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htmTechnical ReportFields of Research::230000 Mathematical Sciences::230100 MathematicsThe author(s)