Monophonic numbers of the join and composition of connected graphs Original Research Article

In this paper, we describe the monophonic sets in the join and composition of two connected graphs. We also determine the monophonic numbers of the join of any two connected graphs and the composition image of a connected graph G and the complete graph image. Lower and upper bounds are obtained for the monophonic number of the composition image, where G is connected and H is a connected non-complete graph.