An upper bound of the basis number of the lexicographic product of two graphs from the basis number of the factors is presented. Furthermore, the basis numbers of the lexicographic product of some classes of graphs is determined.
Citation
M.M.M. Jaradat. A New Upper Bound of the Basis Number of the Lexicographic Product of Graphs[J], Ars Combinatoria, Volume 097. 423-442. .