A New Upper Bound of the Basis Number of the Lexicographic Product of Graphs

M.M.M. Jaradat1,2
1Department of Mathematics Yarmouk University Irbid-Jordan
2Department of Mathematics and Physics Qatar University Doha-Qatar

Abstract

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.