Total Global Dominator Coloring of Trees and Unicyclic Graphs
Global dominator coloring
Total domination number
Total dominator coloring
Total global domination number
Total global dominator coloring
Trees
Unicyclic graphs. MSC2020: 05C15
05C69
A total global dominator coloring of a graph is a proper vertex coloring of with respect to which every vertex in dominates a color class, not containing and does not dominate another color class. The minimum number of colors required in such a coloring of is called the total global dominator chromatic number, denoted by . In this paper, the total global dominator chromatic number of trees and unicyclic graphs are explored.
