Imbeddings of the tensor product of graphs where the second factor is a complete graph (Q1379818)

Using an imbedding technique that combines surgery with voltage graph covering constructions, the author obtains genus imbeddings of various tensor product graphs for which the first factor is imbedded on an appropriate surface, in an appropriate manner, and the second factor is a complete graph of order \(m\) a power of 2 and is regarded as a Cayley graph for a group of order \(m\). Among the genus formulas derived from this process are those for \(H\) a bipartite graph with an orientable quadrilateral imbedding, for \(H\) a graph with an orientable quadrilateral imbedding having bichromatic dual, and for \(H\) a Cartesian product of two cycles, each of order at least 4.