Domination related parameters in the generalized lexicographic product of graphs (Q2030248)

The author studies the total, restrained, total restrained, paired, outer connected, and total outer connected domination numbers for the generalized lexicographic product of graphs. It is proved that for each generalized lexicographic product of graphs, there exist several equality chains containing these parameters. The author also obtains results on well \(\mu\)-dominated generalized lexicographic product of graphs, where \(\mu\) is any of the seven parameters mentioned above.