Products of circulant graphs are metacirculant.
Broere and Hattingh studied \(B\)-products of graphs (introduced by Imrich and Izbicki) and proved that the lexicographic product of two circulant graphs is again circulant, but this is not the case with other products. In the present paper any \(B\)-product of two circulant graphs is proved to be a metacirculant graph with parameters that are easily described in terms of the product graphs. Moreover, any metacirculant graph is isomorphic to the \(B\)-product of a pair of circulant graphs.
scientific article; zbMATH DE number 1843828